Unit 2 Review

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input. In other words, for every x-value, there is one and only one corresponding y-value.

Front

Given g(x) = 4x - 7, find g(-9).

Back

g(-9) = 4(-9) - 7 = -36 - 7 = -43.

Front

How can you determine if a mapping is a function?

Back

A mapping is a function if each input (x-value) is paired with exactly one output (y-value). If any input is paired with more than one output, it is not a function.

Front

What is the range of a relation?

Back

The range of a relation is the set of all possible output values (y-values) that result from the inputs.

Front

Which of the following is NOT a function?

Back

A relation where an input is associated with multiple outputs is not a function.

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 vertical line test?

Back

The vertical line test is a method used to determine if a curve is a function. If a vertical line intersects the curve at more than one point, it is not a function.

Front

What does it mean for a function to be linear?

Back

A linear function is a function that graphs to a straight line, which can be expressed in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What is a one-to-one function?

Back

A one-to-one function is a function where each output is paired with exactly one input, meaning no two different inputs produce the same output.

Front

What is a constant function?

Back

A constant function is a function that always returns the same value, regardless of the input. It can be expressed as f(x) = c, where c is a constant.