2.3 Evaluating Functions

​2.3 Evaluating Functions

By Cassie Stallings

​The Machine

• When we input (x) into the machine, the rule is applied to produce its output called f(x)

• Use the given input values and function rule to find the output values.

Hotspot

Click the name of the function.

Math Response

Write the rule from the first function machine written in function notation.

Type answer here

Correct Answer: f\left(x\right)=2x

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Math Response

Write the rule from the second function machine in function notation.

Type answer here

Correct Answer: f\left(x\right)=x+1

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Math Response

A function is shown.

$$f\left(x\right)=6\left(x+9\right)$$

What is the value of f(4)?

Type answer here

Correct Answer: 78

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Math Response

A function is shown.

$$g\left(x\right)=x-12$$

What is the value of g(1)?

Type answer here

Correct Answer: -11

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Math Response

A function is shown.

$$p\left(x\right)=\frac{8-x}{x}$$

What is the value of p(-8)?

Type answer here

Correct Answer: -2

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Drag and Drop

Find the range, given a domain of {3}.

$$f\left(x\right)=\frac{1}{2}\left(x-6\right)-\frac{5}{2}$$



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Drag these tiles and drop them in the correct blank above

4

0

-1

1

-2

2

-3

{

-4

}

Open Ended

Find the range, given a domain of $$\left\{-3\right\}$$

$$f\left(x\right)=\frac{1}{2}\left(x-6\right)-\frac{5}{2}$$

Drag and Drop

Which numbers are elements of the range of the equation below for the domain of {-8, -7, -6}



f(x) = 3x + 9



range: {​ ​

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, ​

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, ​

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}

Drag these tiles and drop them in the correct blank above

-15

-12

-9

45

48

51

-8

-7

-6

Drag and Drop

Which numbers are elements of the range of the equation below for the domain of {12, 13, 14}



f(x) = 3x + 9



range: {​ ​

Placeholder

, ​

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, ​

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}

Drag these tiles and drop them in the correct blank above

-15

-12

-9

45

48

51

12

13

14

Open Ended

Lino evaluated f(x) for f(-9). Describe the error he made and find the correct value for f(-9).

Math Response

The graph of $$y=f\left(x\right)$$ is shown on the coordinate grid. Find $$f\left(-4\right)$$ .

Type answer here

Correct Answer: 6

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Math Response

A florist determines her monthly profit in dollars from selling bridal bouquets using the function below:

$$p\left(x\right)=15x^2-10.5x$$

What will her monthly profit be if she sells 12 bouquets?

Type answer here

Correct Answer: 594

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Open Ended

​Malcolm is shooting a free throw. The height of the basketball over time can be written as a function h(t), where h(t) is the height of the ball in feet and t is the time in seconds elapsed after the ball has left the player's hands. The function h(t) is shown on the graph.

Math Response

Find the value of h(0.8).

Type answer here

Correct Answer: 10

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