Algebra 1: Chapter 3 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.

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line and can be expressed in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What is a nonlinear function?

Back

A nonlinear function is a function that does not graph to a straight line and may include curves, parabolas, or other shapes.

Front

What is the vertical line test?

Back

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

Front

What is the horizontal line test?

Back

The horizontal line test is used to determine if a function is one-to-one. If any horizontal line intersects the graph at more than one point, the function is not one-to-one.

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 a discrete domain?

Back

A discrete domain consists of distinct, separate values, often represented by whole numbers.

Front

What is a continuous domain?

Back

A continuous domain includes all values within a given range, allowing for fractions and decimals.

Front

How do you determine if a relation is a function?

Back

A relation is a function if every input (x-value) has exactly one output (y-value).

Front

What is a function of calories in relation to spoons of sugar?

Back

The number of calories (c) is a function of the number of spoons (s) eaten, expressed as c = 50s.