Question 1

Which of the following best describes a function in mathematics?

Accepted Answer

A relation that assigns each input exactly one output.

Question 2

Given the function $$f(x) = 2x^2$ - 3x + 5$$, what is $$f(-2)$$?

Accepted Answer

$$17$$

Question 3

Which of the following is the correct definition of the domain of a function?

Accepted Answer

The set of all possible input values for the function.

Question 4

If $$g(x) = \sqrt{x-4}$$, what is the domain of $$g(x)$$?

Accepted Answer

$$x \geq 4$$

Question 5

A function $$h(x) is $$defined as $$h(x) = \frac{1}{x-2}. $$Which value of $$x is $$NOT in the domain of $$h(x)$$?

Accepted Answer

$$x = 2$$

Question 6

Which of the following statements about the range of a function is TRUE?

Accepted Answer

The range is the set of all possible output values.

Question 7

Suppose $$f(x) = 3x - 7$$ and $$g(x) = x^2$. What is (f$$ \circ g)(2)$$?

Accepted Answer

$$-1$$

Question 8

Which of the following is an example of a selection statement in programming?

Accepted Answer

if (x \u003e 0) { return x; }

Question 9

Given the function $$f(x) = x^2$ - 4x + 3$$, for which value of $$x$$ does $$f(x) = 0$$?

Accepted Answer

$$x = 1 or$$ $$x = 3$$

Question 10

Which of the following best describes a test case in programming?

Accepted Answer

A specific set of inputs and expected outputs used to verify a function's correctness.

Question 11

If $$f(x) = x^2$ and g(x) = x + 1$, what is f(g(3$$))$$?

Accepted Answer

$$16$$

Question 12

Which of the following is a relational operator?

Accepted Answer

$$\u003e$$

Question 13

A function $$f(x) is $$defined as $$f(x) = \frac{x^2$ - 9}{x - 3}$$ for $$x 
eq 3. $$What is $$f(4)$$?

Accepted Answer

$$7$$

Question 14

Which statement about function definitions is correct?

Accepted Answer

A function definition specifies the name, parameters, and the process to compute outputs.

Question 15

If $$f(x) = 2x + 1$$ and $$f(a) = 9$$, what is the value of $$a$$?

Accepted Answer

$$4$$

Question 16

Which of the following is an example of a return statement in programming?

Accepted Answer

return x + 2

Question 17

Suppose you are testing a function that calculates the area of a circle, $$A = \pi r^2$. Which of the following is the best test case for r = 0$?

Accepted Answer

$$A = 0$$

Question 18

If $$f(x) = x^2$ and g(x) = 2x$, which of the following is f(g(2$$))$$?

Accepted Answer

$$16$$

Question 19

Which of the following is NOT a function?

Accepted Answer

A relation where one input maps to two different outputs.

Question 20

If $$f(x) = x^2$ - 2x + 1$$, what is the minimum value of $$f(x)$$ for real $$x$$?

Accepted Answer

$$0$$

Python Functions, Selection Statements, and Test Cases: Precalculus Study Context

Study Guide - Practice Questions