8th Grade Ch. 3 Test Review

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. For example, if a function has outputs between -8 and 2, the range is -8 ≤ y ≤ 2.

Front

What does it mean for a function to be linear?

Back

A linear function is a function that graphs to a straight line. It has a constant rate of change, which means the slope is the same between any two points on the line.

Front

What does it mean for a function to be nonlinear?

Back

A nonlinear function is a function that does not graph to a straight line. Its rate of change varies, and it can have curves or bends in its graph.

Front

How do you find the slope of a line given two points?

Back

The slope (m) of a line passing through two points (x1, y1) and (x2, y2) is calculated using the formula: m = (y2 - y1) / (x2 - x1).

Front

What is the slope of the line that passes through the points (2, 4) and (6, 12)?

Back

The slope is 2, calculated as (12 - 4) / (6 - 2) = 8 / 4 = 2.

Front

What is a function?

Back

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

Front

What is the vertical line test?

Back

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

Front

What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) that the function can accept.

Front

What is an example of a nonlinear function?

Back

An example of a nonlinear function is y = x^2, which graphs as a parabola.

Front

What is an example of a linear function?

Back

An example of a linear function is y = 2x + 3, which graphs as a straight line.