Ch 1 PC Review

Front

What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) for which the function is defined.

Front

What is the range of a function?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce.

Front

How do you restrict the domain of a function to make it invertible?

Back

To make a function invertible, restrict its domain to an interval where it is either strictly increasing or strictly decreasing.

Front

What does it mean for a function to be classified as even?

Back

A function is classified as even if for every x in the domain, f(-x) = f(x).

Front

What does it mean for a function to be classified as odd?

Back

A function is classified as odd if for every x in the domain, f(-x) = -f(x).

Front

What is an example of an even function?

Back

An example of an even function is f(x) = 4x^2 + 8.

Front

What is an example of an odd function?

Back

An example of an odd function is f(x) = 12x^7 + 6x^5 - 8x^3 + 4x.

Front

What is the domain of the function f(x) = 1/(x-3)?

Back

The domain is all real numbers except x = 3, or in interval notation: (-∞, 3) ∪ (3, ∞).

Front

What is the range of the function f(x) = x^2?

Back

The range is all non-negative real numbers, or in interval notation: [0, ∞).

Front

How do you find the domain of a function given a rational expression?

Back

To find the domain, identify values that make the denominator zero and exclude them from the set of real numbers.