FREE Pre-Calculus Functions Questions and Answers

Question 1

What is an even function defined as?

Accepted Answer

A function f is even if f(−x)=f(x), for all x in the domain of f.

Answer

A function f is even if f(x) is always positive.

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A function f is even if f(x) equals the independent variable, x.

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A function f is even if f(x) represents a constant.

Question 2

How would you define an odd function?

Accepted Answer

A function f is odd if f(−x)=−f(x), for all x in the domain of f.

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A function f is odd if f(x) represents a constant.

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A function f is odd if f(x) equals the independent variable, x.

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A function f is odd if f(x) is always positive.

Question 3

Which of these indicate that a function is one-to-one or not?

Accepted Answer

Horizontal Line Test

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Vertical Line Test

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Horizontal Asymptote Test

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Intersection Test

Question 4

What test shows if a relationship is a function or not?

Accepted Answer

Vertical Line Test

Answer

Intersection Test

Answer

Slope Test

Answer

Horizontal Line Test

Question 5

What does the composition of functions mean?

Accepted Answer

An operation (fog)(x) that is equal to f (g(x)).

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An operation (fog)(x) that multiplies f(x) and g(x).

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An operation (fog)(x) that is equal to f (x) + g(x).

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An operation (fog)(x) that evaluates a constant value.

Question 6

What is meant by the term "periodic function"?

Accepted Answer

A function that repeats itself at regular intervals.

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A function that has a variable period depending on its input.

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A function that has an undefined output for certain inputs.

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A function that contains both even and odd terms.

Question 7

How do you define a function's or relation's domain?

Accepted Answer

The set of all inputs for which the function or relation is defined.

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The set of all outputs of the function or relation.

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The set of all independent variables in the function or relation.

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The set of all even values in the function or relation.

Question 8

Piecewise function is defined as:

Accepted Answer

A function built from pieces of different functions over different intervals.

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A function that is undefined for all values in its domain.

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A function that returns multiple outputs for a single input.

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A function that has a single rule for all values in its domain.

Question 9

In a function, what is the role of the dependent variable?

Accepted Answer

The output variable that depends on the input, or independent variable.

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The constant value that remains unchanged in the function.

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The independent variable that determines the output.

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The variable that creates undefined situations in the function.

Question 10

In a function, what is the independent variable?

Accepted Answer

The variable that does not depend on the other variable

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The variable that creates undefined situations in the function.

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The output variable that depends on the input.

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The constant value used to evaluate the function.