Identifying Functions

Front

What is the definition of a function?

Back

A function is a relation where every input has only ONE output.

Front

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

Back

y = x² is NOT a linear function.

Front

Is the function y = 2x + 3 Linear or Nonlinear?

Back

Linear

Front

Is the function y = x² + 4 Linear or Nonlinear?

Back

Nonlinear

Front

Which of the following is a function? { (1, 2), (1, 3), (2, 4) } or { (1, 2), (2, 3), (3, 4) }

Back

{ (1, 2), (2, 3), (3, 4) } is a function.

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a curve is a function by checking if any vertical line intersects the curve at more than one point.

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 a nonlinear function?

Back

A nonlinear function is a function that does not graph to a straight line and can include curves, parabolas, etc.

Front

Identify the function type: f(x) = 3x + 7

Back

Linear

Front

Identify the function type: f(x) = -x² + 5

Back

Nonlinear