Question 1

Which of the following graphs does NOT represent a function?

Accepted Answer

The graph of $$y^2 = x$

Question 2

According to the vertical line test, which statement is true?

Accepted Answer

If any vertical line intersects a graph in more than one point, the graph does not define $$y as a $$function of $$x.$$

Question 3

Given the function $$f(x) = -2x + 7$$, what is the $$x-$$intercept?

Accepted Answer

$$x = 3.5$$

Question 4

Given the function $$f(x) = -2x + 7$$, what is the $$y-$$intercept?

Accepted Answer

$$y = 7$$

Question 5

Which of the following is the correct interval notation for the domain of the function $$f(x) = \sqrt{x}$$?

Accepted Answer

$$[0, \infty)$$

Question 6

A graph passes through the points $$(-2, 0)$$, $$(0, 2)$$, and $$(2, 0). $$What are the $$x-$$intercepts?

Accepted Answer

$$x = -2$$ and $$x = 2$$

Question 7

If a function's graph has arrows pointing left and right without bound, what is the domain?

Accepted Answer

$$(-\infty, \infty)$$

Question 8

Given the graph of $$y = |x|$$, what is the range of the function?

Accepted Answer

$$[0, \infty)$$

Question 9

Suppose a function $$f is $$defined by the graph below. The graph passes through $$(0, 3)$$ and $$(2, 0). $$What is the $$y-$$intercept?

Accepted Answer

$$y = 3$$

Question 10

A function $$f is $$defined for all real numbers except $$x = 2. $$Which of the following is the correct interval notation for its domain?

Accepted Answer

$$(-\infty, 2) \cup (2, \infty)$$

Question 11

Given the graph of a function, how do you find the $$x-$$intercepts?

Accepted Answer

Solve $$f(x) = 0$$

Question 12

If a function $$f$$ has a domain of $$(-\infty, 4]$$, which of the following is true?

Accepted Answer

The function is defined for all $$x \leq 4$$

Question 13

A function $$f is $$graphed and the highest point on the graph is at $$(2, 5). $$What is the maximum value of $$f$$?

Accepted Answer

$$5$$

Question 14

Given the function $$f(x) = x^2$ - 4$$, what are the $$x-$$intercepts?

Accepted Answer

$$x = -2$$ and $$x = 2$$

Question 15

If the graph of a function passes the vertical line test, which of the following must be true?

Accepted Answer

Each $$x-$$value corresponds to exactly one $$y-$$value

Question 16

A function $$f is $$defined by $$f(x) = \sqrt{x-1}. $$What is the domain of $$f$$?

Accepted Answer

$$[1, \infty)$$

Question 17

Suppose a function $$f is $$graphed and $$f(-2) = 3. $$What does this mean?

Accepted Answer

The point $$(-2, 3) is on $$the graph of $$f$$

Question 18

If a function $$f$$ has a range of $$(-\infty, 2]$$, which of the following is true?

Accepted Answer

The largest value $$f(x)$$ can take is $$2$$

Question 19

Given the function $$f(x) = |x|$$, for what values of $$x is$$ $$f(x) \u003c 2$$?

Accepted Answer

$$-2 \u003c x \u003c 2$$

Question 20

A real-world scenario: The height $$h (in $$meters) of a ball thrown upward is given by $$h(t) = -5t^2$ + 20t + 1$$, where $$t is $$time in seconds. What is the $$y-$$intercept of this function?

Accepted Answer

$$h = 1$$

Graphs of Functions: Domain, Range, and Intercepts

Guida di studio - Domande di pratica

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