CHS EOC Review: Features of Functions & Evaluating

Front

What describes the increasing/decreasing behavior of a graph?

Back

The graph can be described as increasing, decreasing, or a combination of both. For example, a graph may increase, then decrease, and then increase again.

Front

What is a y-intercept?

Back

The y-intercept is the point where a graph crosses the y-axis. It is represented as (0, y). For example, (0, 4) is a y-intercept.

Front

Which of the following represents y as a function of x? {(1, 4), (2, 5), (3, 6)}, {(1, 4), (2, 4), (3, 4)}, {(1, 4), (2, 4), (1, 3)}, {(1, 4), (1, 2), (1, 3)}

Back

The relations that represent y as a function of x are I and II only. A function cannot have two outputs for the same input.

Front

What is the domain of a graph?

Back

The domain of a graph is the set of all possible x-values (inputs) for which the function is defined.

Front

What does 'rate of change' refer to in mathematics?

Back

Rate of change refers to the slope of a line, which measures how much y changes for a change in x.

Front

What is the definition of a function?

Back

A function is a relation that assigns exactly one output (y) for each input (x).

Front

How do you find the slope of a line?

Back

The slope (m) is calculated as the change in y divided by the change in x (m = Δy/Δx).

Front

What is the difference between increasing and decreasing functions?

Back

An increasing function has a positive slope, meaning as x increases, y also increases. A decreasing function has a negative slope, meaning as x increases, y decreases.

Front

What is a vertical line test?

Back

The vertical line test is a method to determine if a relation is a function. If a vertical line intersects the graph at more than one point, it is not a function.

Front

What is the range of a function?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce.