Module 5 Test Form A2: Nonlinear Functions

Front

What is a piecewise function?

Back

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

Front

How do you evaluate a piecewise function at a specific point?

Back

To evaluate a piecewise function at a specific point, determine which piece of the function applies to that point and then use the corresponding expression to find the value.

Front

What is the general form of an absolute value function?

Back

The general form of an absolute value function is f(x) = a|x - h| + k, where (h, k) is the vertex of the graph.

Front

What does the 'a' value in an absolute value function indicate?

Back

The 'a' value indicates the vertical stretch or compression and the direction of the graph (upward if a > 0, downward if a < 0).

Front

How do you find the vertex of the function g(x) = -3|x - 2| + 4?

Back

The vertex of the function g(x) = -3|x - 2| + 4 is at the point (2, 4).

Front

What is the range of the function g(x) = -3|x - 2| + 4?

Back

The range of the function g(x) = -3|x - 2| + 4 is y < 4.

Front

What is the domain of the function g(x) = -3|x - 2| + 4?

Back

The domain of the function g(x) = -3|x - 2| + 4 is all real numbers.

Front

What is the axis of symmetry for the function g(x) = -3|x - 2| + 4?

Back

The axis of symmetry for the function g(x) = -3|x - 2| + 4 is x = 2.

Front

How do you graph an absolute value function?

Back

To graph an absolute value function, identify the vertex, determine the direction of the graph based on the 'a' value, and plot points on either side of the vertex.

Front

What is the effect of changing the 'h' value in the absolute value function f(x) = a|x - h| + k?

Back

Changing the 'h' value shifts the graph horizontally; if h is positive, the graph shifts to the right, and if h is negative, it shifts to the left.