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

Tags

CCSS.HSF.IF.A.2

Front

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

Back

4

Tags

CCSS.HSF-BF.A.1C

Front

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

Back

Domain

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

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

Back

97

Tags

CCSS.HSF-BF.A.1C

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.

Tags

CCSS.8.F.A.1

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.

Tags

CCSS.HSF-IF.C.7B

Front

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

Back

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

Tags

CCSS.HSF-BF.A.1C

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.