Module 5 Test Review: Nonlinear Functions

Front

What is a nonlinear function?

Back

A nonlinear function is a function that does not create a straight line when graphed. Its graph can be a curve, and it does not have a constant rate of change.

Front

What is a piecewise function?

Back

A piecewise function is a function that is defined by different expressions for different parts of its domain.

Front

How do you evaluate a function at a specific point?

Back

To evaluate a function at a specific point, substitute the value of the variable into the function's equation and simplify.

Front

What does the notation f(x) represent?

Back

f(x) represents the output of the function f for a given input x.

Front

What is the axis of symmetry in a graph?

Back

The axis of symmetry is a vertical line that divides a graph into two mirror-image halves.

Front

How do you find the axis of symmetry for the function g(x) = 3|x - 2| + 6?

Back

The axis of symmetry can be found at the value of x that makes the expression inside the absolute value zero. For g(x), it is x = 2.

Front

What is the significance of the vertex in a piecewise function?

Back

The vertex is the point where the function changes direction or the point of maximum or minimum value in a graph.

Front

What is the difference between linear and nonlinear functions?

Back

Linear functions have a constant rate of change and graph as straight lines, while nonlinear functions have varying rates of change and graph as curves.

Front

How do you identify key features of a graph?

Back

Key features include the vertex, axis of symmetry, intercepts, and any points of discontinuity.

Front

What does it mean for a function to be continuous?

Back

A function is continuous if there are no breaks, jumps, or holes in its graph.