Identifying Functions

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input.

Front

Which of the following is NOT a linear function? y = 3x, y = x², y = 5x - 9, y = 3(x + 4)

Back

y = x²

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line and can be expressed in the form y = mx + b.

Front

What is the standard form of a linear function?

Back

The standard form of a linear function is Ax + By = C, where A, B, and C are constants.

Front

What does it mean for a function to be linear?

Back

A function is linear if it has a constant rate of change and its graph is a straight line.

Front

What is the slope of the line represented by the function y = 2x + 3?

Back

The slope is 2.

Front

What is the y-intercept of the function y = -4x + 5?

Back

The y-intercept is 5.

Front

Is the function f(x) = 3x + 1 linear or nonlinear?

Back

Linear

Front

Is the function g(x) = x² - 2 linear or nonlinear?

Back

Nonlinear

Front

What is the definition of a linear equation?

Back

A linear equation is an equation that can be written in the form y = mx + b.