Which of the following functions is graphed below.

Which Of The Following Functions Is Graphed Below.

Answers

Answer 1

Answer: Option A

[tex]y=\left \{ {{x^2 +2;\ \ x<1 \atop {-x+2;\ \ x\geq1}} \right.[/tex]

Step-by-step explanation:

In the graph we have a piecewise function composed of a parabola and a line.

The parabola has the vertex in the point (0, 2) and cuts the y-axis in y = 2.

The equation of this parabola is [tex]y = x ^ 2 +2[/tex]

Then we have an equation line[tex] y = -x + 2 [/tex]

Note that the interval in which the parabola is defined is from -∞ to x = 1. Note that the parabola does not include the point x = 1 because it is marked with an empty circle " о ."

(this is [tex]x< 1[/tex])

Then the equation of the line goes from x = 1 to ∞ . In this case, the line includes x = 1 because the point at the end of the line is represented by a full circle .

(this is [tex]x\geq 1[/tex])

Then the function is:

[tex]y=\left \{ {{x^2 +2;\ \ x<1 \atop {-x+2;\ \ x\geq1}} \right.[/tex]


Related Questions

Please help me with geometry.

Answers

Parallel lines have the same slope so the equation will have the same slope. The y-coordinate is the new y-intercept, so the equation is y = 3x + 8

Hope this helps

Answer:

y = 3x + 5

Step-by-step explanation:

Line y = 3x - 8; slope = 3

Parallel lines, slope is the same so slope of the line that parallel to the line y = 3x - 8 is also 3

Passing thru (1,8)

y - 8 = 3(x - 1)

y - 8 = 3x - 3

y = 3x + 5

Answer:

y = 3x + 5

What are the slope and the y-intercept of the line shown in the graph

Answers

The y-intercept is the y value when x = 0, or (0 , y)

Based on the graph, your y-intercept is at (0 , 2) or 2

The slope(m) can be found using the slope formula and plugging in 2 points:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

But if you look at the answer choices, if the slope is positive, the line would be going up and to the right

If the slope is negative, the line would be going down and to the right

your answer is A

what table represents the exponential function y=5×2^x​

Answers

Answer:I would say it's graph 4 if the equation you put is y=5(2)^x

Step-by-step explanation:

In your job at a restaurant, you made a 12-cup pot of coffee at 7:20 a.m. By 7:40 a.m., you had served it all and had to make another pot. At this rate, how many cups would you serve per hour?

Answers

Answer:

36 cups

Step-by-step explanation:

every 20 minutes you make 12 cups. 20×3=60, which is 1 hour. You will meed to make 3 pots of coffee that are 12 cups each, 3×12=36

The cups would you serve per hour is 36.

We have given that,

In your job at a restaurant, you made a 12-cup pot of coffee at 7:20 a.m. By 7:40 a.m.

What is the one hour?

one hour contains a 60 inutes

That is the 1 hour=60 minutes.

Every 20 minutes you make 12 cups.

20×3=60, which is 1 hour.

You will need to make 3 pots of coffee that are 12 cups each

3×12=36

Therefore, the cups would you serve per hour is 36.

To learn more about the time visit:

https://brainly.com/question/10428039

#SPJ2

How do I find the value of x?

Answers

If we know that the angle on the left is 80° we know that the angle on the right is also 80°

We can subtract these from 360° and we are left with 200°

Since all four of the remaining angles are congruent we can divide our remaining 200° by 4

When you do that you get 50, meaning each remaining angle is 50°

Making x=50°

Hope this helped!

Answer:

x = 50

Step-by-step explanation:

There are no guarantees that the question can be answered unless the lines meeting at the intersection point are staight lines. You have to assume that to be true.

The angles making up the line starting at the lower right and going up to the upper left are

80 +x + x = 180            80 and one of the two xs are vertically opposite.

80 + 2x = 180               Subtract 80 from both sides.

80-80+2x=180-80        Subtract

2x = 100                        Divide by 2

2x/2 =100/2

x = 50

Solve for x.

−2 = 3/9x

Answers

Answer:

-6

Step-by-step explanation:

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which graph shows the solution to the inequality
|x+3| ≥ 2?

Answers

Answer:

2nd number line

Step-by-step explanation:

When there is an absolute value inequality of the form  |x+a| ≥ b,

We can say that the solution set (in a number line) would be:

we take the point x = -athen we go b units in both directions (left and right)start from those 2 points and draw arrows in both directions (left & right)

Keeping these points in mind,

|x+3| ≥ 2

we start from x = -3

we go 2 units left and right, so we arrive at x = -5 and x = -1

then we draw arrows to both sides

looking at the choices, we see 2nd answer choices (graph) portrays it correctly.

Answer:

b

Step-by-step explanation:

what are Prime numbers?

Answers

Answer:

Prime numbers are whole numbers that multiply itself by 1 and they cannot be multiplied by other numbers.

Some examples of prime numbers would be: 1, 2, 3, 5, 7...

The Graph Of y=x^3 is transformed as shown in the graph below. Which equation represents the transformation function? HELP PLZ

Answers

ANSWER

[tex]y = {( - x)}^{3} - 4[/tex]

EXPLANATION

The parent or base function is

[tex]y = {x}^{3} [/tex]

This function has its y-intercept at the origin.

It has been transformed vertically so that its y-intercept is now at -4.

This is a transformation of the form

[tex]y = {x}^{3} - k[/tex]

where k=4.

The function is also reflected in the x-axis.

The new function is

[tex]y = {( - x)}^{3} - 4[/tex]

The new function is

a) [tex]y = {( - x)}^(3) - 4[/tex]

The parent or base function is

[tex]y = {x}^(3)[/tex]

This function has its y-intercept at the origin.

It has been transformed vertically so that its y-intercept is now at -4.

This is a transformation of the form

[tex]y = {x}^(3) - k[/tex]

where k=4.

The function is also reflected in the x-axis.

The new function is

a) [tex]y = {( - x)}^(3) - 4[/tex]

a cup is 6.4 cm tall, not including the 0.6 cm lip. cups are stacked inside one another. select the function that represents the height of the stack of cups in terms of the number of cups in the stack

Answers

Answer:

c=20

Step-by-step explanation:

H(c)=6.4+0.6c

6.4 is the constant

when the height of the cups is 18.4 the function is:

18.4=6.4+0.6c

then you subtract 6.4 from both side to get:

18.4 - 6.4=6.4 + 0.6c - 6.4

12=0.6c

c= 12/.6

c=20

plzzz mark brainiest

Answer:

The number of cups in the stack is 20. I hope this helps!!

What is the length
of HJ expressed in terms of pie?

Answers

im not sure but pie is 3.14

Find the area of the parallelogram. A. 14 square units. B. 48 square units.
C. 24 square units. D. 28 square units

Answers

Answer:

B

Step-by-step explanation:

The area of a parallelogram is base times height.

The height has to be perpendicular to the base, so the base (if you count) is 6 units, and the height is 8 units.

8x6=48 square units

HELP ASAP PLEASE!!!!!

The net of a triangular prism is composed of____triangles and ____ rectangles

Answers

A triangular prism is a prism composed of two triangular bases and three rectangular sides

Which translation shifts the graph of f(x)=3x+3 onto g(x)=3x-3

Answers

Answer:

vertical translation of - 6

Step-by-step explanation:

given f(x) = 3x + 3

then f(x) + c is a vertical translation of f(x)

• If c > 0 then a shift of c units up ↑

• If c < 0 then a shift of c units down

shift from + 3 to - 3 is a vertical shift of 6 units down

please help!!! asap! ( 10 points)

Answers

Answer:

a. true: 3    false: -5

b. true: 9    false: 2

c. true: 1/3  false: 1

d. true: 2    false: 3

I hope this helps!

What is the x-coordinate of the point of intersection for these two lines?
9x + 2y = 16
x - 2y = 4
a.) 1
b.) -1
c.) 2
d.) -2

Answers

You need to use substitution, to do so, you isolate one of the variables x or y in one equation, and then you substitute that equation into the other.

Since you only need to find x, isolate the y in one of the equations

x - 2y = 4

y = [tex]\frac{x}{2} -2[/tex]

Plug this in and simplify

9x + 2y = 16

9x + 2([tex]\frac{x}{2} -2[/tex]) = 16  Distribute the 2

9x + x - 4 = 16  

10x = 20

x = 2    Your answer is C

If m
Answer choices are -

Which property is shown

Reflexive
Substitution
Symmetric
Transitive

Answers

Answer: symmetric or reflexive

Step-by-step explanation:

I'm not forsure but I believe that these are the two options bc the other two aren't forsure sorry dude I'm trying :0

You have to solve this . Calculate the diameter of a human red blood cell is 0.000006 m. Write the diameter in scientific notation

Answers

Answer:

6 x 10 to the -6 power

Step-by-step explanation:

Moved the decimal to the right 6, since less than 0 its negative

Is the graph one to one? Math 3!!! Help needed !!

Answers

Answer:

Yes, there exists one output for every input

Step-by-step explanation:

* Lets revise how to test the function is one-one function

- Draw a horizontal line (parallel to x-axis) and moved it up and down

- If the horizontal line cut the graph in more than one point, then

 the function is not one-one function

- If the horizontal line cut the graph in only one point, then the

 function is one-one function

- That means one output for every input

* Now lets look to the graph

- If we draw a horizontal line and moved it up and down, the line

 will cut the graph in just one point

- That means every x has different value of y

∴ There is no same y-coordinate for two x-coordinates

* Yes, there exists one output for every input

I'll make you brainliest

Just need the answer

Area of that picutre of a quadrilateral

Answers

The area is 10 :) hope that helps

Edit:

Reason:

(a+b)/2 * h is the formula plug in the numbers and you get:

(4+6)/2 * 2

10/2 * 2

5 * 2

= 10 feet.

In order to solve by completing the square, what value needs to be added to
both sides of the equation: x2 + 8x = 17? (A.8A, RC 4, RS)
A 64
B 32
C 17
D 16

can someone please explain?

Answers

Answer:

16

Step-by-step explanation:

To find the term needed, use the binomial formula.

[tex](a+b)^2 = a^2 + 2ab + b^2[/tex]

Let 8x = 2ab, a is by default x, which leaves us with:

8x = 2xb

8 = 2b

b = 4

And by the binomial formula add [tex]b^2[/tex] to both sides, namely 16.

[tex]x^2 + 8x + 16 = 17 + 16\\(x+4)^2 = 33[/tex]

What’s this answer to this problem

Answers

Answer:

Radius is 13 and Circumferences is 81.64

Step-by-step explanation:

You divide 26 by two to get the radius and multiply 2 time pi times the radius or pi times diameter to get the circumference.

Answer:

radius=13

Circumference=26pi

Area=169pi

Step-by-step explanation:

The radius is half the diameter (SP or PR or PQ). The radius is 13

Area= pi(r)^2

r=radius

r=13

pi(13)^2=169pi

circumference=2pi(r)=(pi)d

r=radius

d=diameter

2(pi)13=26pi

Which point does NOT lie on the graph of the line 4x + 2y = 8?
A. (0, 4)
B. (3, -2)
C. (4, -4)
D. (-2, 4)

Answers

Like last time, we substitute in each one until we find one we see can't work, or just look at them and choose the one that doesn't look right.

D in this case doesn't look right, so we can substitute it in:

-8+8=8

That isn't true, that equation would equal 0.

Hope I helped (again), sorry if I'm wrong!

~Mschmindy

D. (-2,4) is the answer?

Which graph can be used to find the solution(s) to 8 – 4x = 2x – 4?

Answers

Answer:

To find the solutions to the system of equations we need to graph the following equations:

y = 8 - 4x (Red line)

y = 2x - 4 (Blue line)

The point of interception, is the solution to the system of equations.

By looking at the graph attached, you can see that the point of itersection is at (2,0)

Answer:

both lines intercept at (2,0) which would be the second graph (B)

Step-by-step explanation:

Find the surface area of a square pyramid where the length of a side of the base is 10cm and the slant height of the pyramind is 16cm

Answers

Answer:

435.26

Step-by-step explanation:

I hope this is right I looked it up on Google. You search up area of a square pyramid and put your info in.

Jeremy finished 3/5 of his homework what prevent of his homework did he finish

Answers

Answer:

60 percent.

Step-by-step explanation:

Use the distributive property to complete the following statement 4(x-1)=4x-___
A. 4
B. –4
C. –1
D. 1

Answers

Answer:

A. 4

Step-by-step explanation:

4*x-4*1=4x-4

Which expression is equivalent to 8c+6-3c-2

A.5c+4

B.5c+8

C.11c+4

D.11c+8

Answers

Answer:D

Step-by-step explanation:

You subtract 8-3 which is 11c and then you add 2 to 6 which is 8

Answer:

5c+5, A

Step-by-step explanation:

This is because 8c is combined with the negative 3c to make 5 c. 6 c is combined with negative 2 to creat positive 4.

Students at Sugar land middle school were asked what their favorite sport was. The table below shows the results of the survey. If you select a student at random, what is the probability that you were select a boy who chose a football as his favorite sport?

Answers

Answer:

Step-by-step explanation:

State the domain of this relation

Answers

Answer:

Step-by-step explanation:

The domain of this relation includes one each of the various x-values:  {4, 5, 6, 8}; do not included 4 twice.

The domain is the x’s

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