Key Features of Graphs Unit Test

Front

What is the end behavior of a graph?

Back

The end behavior of a graph describes how the values of y behave as x approaches positive or negative infinity.

Front

Describe the end behavior of the graph: x→∞, y→2 and x→⁻∞, y→∞.

Back

As x approaches infinity, y approaches 2; as x approaches negative infinity, y approaches infinity.

Front

What is an interval of increase in a graph?

Back

An interval of increase is a range of x-values where the graph rises as you move from left to right.

Front

Find the interval(s) of increase for the graph: (-4, -2).

Back

The graph is increasing in the interval (-4, -2).

Front

What is a removable discontinuity?

Back

A removable discontinuity occurs when a function is not defined at a point, but can be made continuous by defining it at that point.

Front

Identify the type of discontinuity at x=2 if it is removable.

Back

The discontinuity at x=2 is a removable discontinuity.

Front

What type of function is represented by a V-shaped graph?

Back

The function is an absolute value function.

Front

What is the general form of an absolute value function?

Back

The general form is f(x) = |x|.

Front

Given f(x) = x² - 1, what is f(10)?

Back

f(10) = 10² - 1 = 99.

Front

What is the value of f(x) when x = 10 for the function f(x) = x² - 1?

Back

f(10) = 99.