Question 1

Given the graph of the function $$f$$ shown above, what is the value of $$f(4)$$?

Accepted Answer

$$2$$

Question 2

Based on the graph, is $$f(8)$$ positive or negative?

Accepted Answer

positive

Question 3

For which values of $$x is$$ $$f(x) \u003e 0$$ according to the graph?

Accepted Answer

$$[-10, -6) \cup (7, 10)$$

Question 4

What are the $$x-$$intercepts of the function as shown in the graph?

Accepted Answer

$$-25, -15, 17.5, 25$$

Question 5

What is the $$y-$$intercept of the function as shown in the graph?

Accepted Answer

$$35$$

Question 6

How many times does the line $$y = -25$$ intersect the graph?

Accepted Answer

three times

Question 7

How many times does the line $$y = 4$$ intersect the graph?

Accepted Answer

twice

Question 8

For which value of $$x$$ does $$f(x) = 40$$ according to the graph?

Accepted Answer

$$100$$

Question 9

Given the function $$f(x) = 3x^2$ - 6x - 9$$, is the point $$(1, -12) on $$the graph of $$f$$?

Accepted Answer

Yes

Question 10

Given the function $$f(x) = 3x^2$ + 6x + 4$$, is the point $$(-2, 10) on $$the graph of $$f$$?

Accepted Answer

No

Question 11

Given the function $$f(x) = -6x^2$ - 12x + 1$$, what is the $$y-$$intercept of the graph of $$f$$?

Accepted Answer

$$1$$

Question 12

Given the function $$f(x) = \frac{x^2$ - 5}{x - 3}$$, is the point $$(-1, -\frac{3}{2}) on $$the graph of $$f$$?

Accepted Answer

Yes

Question 13

Given the function $$f(x) = \frac{x^2$ + 7}{x + 4}$$, what is the domain of $$f$$?

Accepted Answer

$$\{x|x 
eq -4\}$$

Question 14

Given the function $$f(x) = \frac{x^2$ + 2}{x - 3}$$, list the $$x-$$intercepts, if any, of the graph of $$f.$$

Accepted Answer

$$(-2, 0)$$

Question 15

Given the function $$f(x) = \frac{x^2$ + 2}{x + 9}$$, what is the $$y-$$intercept of the graph of $$f$$?

Accepted Answer

$$(0, \frac{2}{9})$$

Question 16

For the function $$f(x) = 6x$$, what is the average rate of change of $$f$$ from $$1 to$$ $$x$$?

Accepted Answer

$$6$$

Question 17

For the function $$f(x) = x + 99$$, what is the average rate of change from $$1 to$$ $$x$$?

Accepted Answer

$$\frac{x + 99 - 10}{x - 1}$$

Question 18

Find the average rate of change for the function $$f(x) = 2x$$ from $$x = 2 to$$ $$x = 8.$$

Accepted Answer

$$7$$

Question 19

Find the average rate of change for the function $$f(x) = 2x - 1$$ from $$x = 1 to$$ $$x = 5.$$

Accepted Answer

$$2$$

Question 20

The table below shows the average deduction for charitable contributions reported on individual income tax returns for the period 1993 to 1998. Find the average rate of change between 1995 and 1997.

Year: 1995 ($$2500$$), 1997 ($$3010)$$

Accepted Answer

$$330$$ per year

Guided Practice: Reading Values from a Function's Graph

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