Question 1

Given Table 1, what is the domain of the relation represented by the table?

Accepted Answer

$$\{0, 1, 2, 2.5, 3, 4, 5\}$$

Question 2

Which of the following best describes the range of the relation shown in Table 1?

Accepted Answer

$$\{0, 7.2, 12.8, 15, 16.8, 19.2, 20\}$$

Question 3

Based on Figure 3, is the relation between time and height a function?

Accepted Answer

Yes, because each time value corresponds to exactly one height value.

Question 4

Using Figure 2, what is the $$y-$$intercept of the graph?

Accepted Answer

$$(0, 20)$$

Question 5

Which of the following equations could represent the data in Table 1?

Accepted Answer

$$y = 20 - 0.8x^2$

Question 6

Refer to the T Cell Count and HIV Infection graph (Figure 1.21). What is the domain of the function $$y = f(x)$$ shown?

Accepted Answer

$$[0, 11]$$

Question 7

In the T Cell Count and HIV Infection graph, what does the range of the function represent?

Accepted Answer

Possible T cell counts per milliliter of blood over time

Question 8

Given the graph in the fifth image, what is the domain of $$f(x)$$?

Accepted Answer

$$[-3, 2]$$

Question 9

For the graph in the sixth image, what is the range of $$f(x)$$?

Accepted Answer

$$[0, 4]$$

Question 10

Which of the following statements is true about the vertical line test?

Accepted Answer

If any vertical line intersects the graph more than once, the graph is not a function.

Question 11

Suppose $$f(x) = x^2$ - 2x + 7. $$What is $$f(-5)$$?

Accepted Answer

$$42$$

Question 12

Which of the following is NOT a function?

Accepted Answer

$$x^2$$ + $$y^2 = 1$

Question 13

Given the set of points $$\{(0, 187), (1, 212), (2, 225), (3, 238)\}$$, what is the range?

Accepted Answer

$$\{187, 212, 225, 238\}$$

Question 14

If a function's graph passes through the points $$(2, 4)$$ and $$(4, 2)$$, which of the following statements is true?

Accepted Answer

The function has $$x-$$intercept at $$x = 2 or$$ $$x = 4$$ only if $$y = 0 at $$those points.

Question 15

Which of the following best describes the $$x-$$intercepts of a function's graph?

Accepted Answer

Points where the graph crosses the $$x-$$axis

Question 16

A function is defined by the set of ordered pairs $$\{(1, 2), (3, 4), (6, 5), (8, 5)\}. $$What is the range?

Accepted Answer

$$\{2, 4, 5\}$$

Question 17

Which of the following is the correct interval notation for all $$x$$ such that $$1 \leq x \leq 5$$?

Accepted Answer

$$[1, 5]$$

Question 18

If a function $$f is $$defined on $$[0, 5]$$ and $$f(0) = 20$$, $$f(5) = 0$$, what is the range if $$f is $$decreasing and continuous?

Accepted Answer

$$[0, 20]$$

Question 19

Which of the following best describes a function?

Accepted Answer

A relation where each element in the domain corresponds to exactly one element in the range.

Basics of Functions and Their Graphs

Study Guide - Practice Questions