Function Operations & Piecewise Functions

Front

What is the value of f(-2) if f(x) is defined as f(x) = 2x^2 - 1?

Back

4

Front

Given f(x) = 3x + 10 and g(x) = x - 2, what is f(g(0))?

Back

4

Front

What do we call all of the x values or inputs in a function?

Back

Domain

Front

For the function f(x) = 2x^2 - 1, what is (f ° f)(-2)?

Back

97

Front

What is the test used to determine if a graph represents a function?

Back

Vertical line test

Front

What is the definition of a function?

Back

A relation where each input has exactly one output.

Front

What is the range of a function?

Back

The set of all possible output values (y-values) of a function.

Front

What is a piecewise function?

Back

A function defined by multiple sub-functions, each applying to a certain interval of the domain.

Front

How do you find the composite function (f ° g)(x)?

Back

By substituting g(x) into f(x).

Front

What is the significance of the vertical line test?

Back

It determines if a graph is a function by checking if any vertical line intersects the graph at more than one point.