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4 years ago

14

What are the domain and range of the function on the graph?

2 answers:

Rainbow [258]4 years ago

4 0

we know that

The domain of the function of the graph is the interval-----> (-∞,∞)

that means

All real numbers

The range of the function of the graph is the interval-----> (0,∞)

that means

$y> 0$ -----> all real numbers greater than zero

therefore

<u>the answer is the option D</u>

The domain includes all real numbers, and the range is y > 0

Vsevolod [243]4 years ago

3 0

Answer:

D) The domain includes all real numbers, and the range is y > 0.

Step-by-step explanation:

Given : Graph .

To find : What are the domain and range of the function on the graph.

Solution :

Domain : The domain is the set of all possible x-values .

Range : The range of a function is the complete set of all possible resulting values of the dependent variable y.

We can see from the graph , x values includes all real numbers and range ( y values greater than 0 because graph line is not intersect at 0 .

Therefore, D) The domain includes all real numbers, and the range is y > 0.

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-3x^2 + 2y^2 + 5xy - 2y + 5x^2 - 3y^2<br><br> x = 2 , y = -1

rewona [7]

X=2 Y=-1 plug them into the equation
-3(2)^2 + 2(-1)^2 + 5(2)(-1) -2(-1) + 5(2)^2 -3(-1)^2

36+4-10+2+100+9

40-10+2+100+9

30+2+100+9

132+9

141

5 0

3 years ago

Choose the model that shows the correct answer to this problem:<br> 6/8<br> 9/12<br> 3/4<br> 3/12

Veronika [31]

Answer:

1/3 x 3/4

Step-by-step explanation:

in this case, 3/4 is correct because it is 3 of 4 shaded.

hope this helps!

3 0

2 years ago

Read 2 more answers

Which of the following is a correct equation for the line passing through the point (-1,4) and having slope m=-3

timurjin [86]

Answer:

y = -3x + 1

Step-by-step explanation:

Starting with the point (-1, 4) and the slope m = -3, write out the point-slope equation of a straight line: y - k = m(x - h) becomes y - 4 = -3(x + 1), or:

y = -3x - 3 + 4

y = -3x + 1 This is the same as answer choice (b).

5 0

3 years ago

In Exercises 45–48, let f(x) = (x - 2)2 + 1. Match the<br> function with its graph

MA_775_DIABLO [31]

Answer:

45) The function corresponds to graph A

46) The function corresponds to graph C

47) The function corresponds to graph B

48) The function corresponds to graph D

Step-by-step explanation:

We know that the function f(x) is:

$f(x)=(x-2)^{2}+1$

45)

The function g(x) is given by:

$g(x)=f(x-1)$

using f(x) we can find f(x-1)

$g(x)=((x-1)-2)^{2}+1=(x-3)^{2}+1$

If we take the derivative and equal to zero we will find the minimum value of the parabolla (x,y) and then find the correct graph.

$g(x)'=2(x-3)$

$2(x-3)=0$

$x=3$

Puting it on g(x) we will get y value.

$y=g(3)=(3-3)^{2}+1$

$y=g(3)=1$

<u>Then, the minimum point of this function is (3,1) and it corresponds to (A)</u>

46)

Let's use the same method here.

$g(x)=f(x+2)$

$g(x)=((x+2)-2)^{2}+1$

$g(x)=(x)^{2}+1$

Let's find the first derivative and equal to zero to find x and y minimum value.

$g'(x)=2x$

$0=2x$

$x=0$

Evaluatinf g(x) at this value of x we have:

$g(0)=(x)^{2}+1$

$g(0)=1$

<u>Then, the minimum point of this function is (0,1) and it corresponds to (C)</u>

47)

Let's use the same method here.

$g(x)=f(x)+2$

$g(x)=(x-2)^{2}+1+2$

$g(x)=(x-2)^{2}+3$

Let's find the first derivative and equal to zero to find x and y minimum value.

$g'(x)=2(x-2)$

$0=2(x-2)$

$x=2$

Evaluatinf g(x) at this value of x we have:

$g(2)=(2-2)^{2}+3$

$g(2)=3$

<u>Then, the minimum point of this function is (2,3) and it corresponds to (B)</u>

48)

Let's use the same method here.

$g(x)=f(x)-3$

$g(x)=(x-2)^{2}+1-3$

$g(x)=(x-2)^{2}-2$

Let's find the first derivative and equal to zero to find x and y minimum value.

$g'(x)=2(x-2)$

$0=2(x-2)$

$x=2$

Evaluatinf g(x) at this value of x we have:

$g(2)=(2-2)^{2}-2$

$g(2)=-2$

<u>Then, the minimum point of this function is (2,-2) and it corresponds to (D)</u>

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I hope it helps you!

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8 0

3 years ago

NEED HELP ASAP PLEASE

Aleksandr [31]

Answer:

7. Distributive Property

8. 8x +2.5

Step-by-step explanation:

7. The equation matches the pattern ...

a(b + c) = ab + ac . . . . . . . statement of Distributive Property

with a=√2, b=5, c=4

__

8. The one-time charge of 2.50 will appear added in the equation one time (and not multiplied by anything). The number of tickets (x) will be multiplied by the ticket charge (8) and added to the one-time charge. Only one answer choice does that:

8x + 2.5

6 0

4 years ago