Foundations of Math Review #1

Front

Identify the domain of a function.

Back

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

Front

Identify 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 does it mean for a function to be increasing?

Back

A function is increasing on an interval if, as the input values increase, the output values also increase.

Front

Solve for x: 2x + 5 = 15.

Back

x = 5.

Front

Solve for a: 2a + 4 = 7 + a.

Back

a = 3.

Front

Simplify: 5a + 2b - 3a + 4.

Back

2a + 2b + 4.

Front

What is the difference between domain and range?

Back

Domain refers to the input values of a function, while range refers to the output values.

Front

How do you determine the domain of a function from a graph?

Back

The domain can be determined by identifying the x-values that the graph covers.

Front

How do you determine the range of a function from a graph?

Back

The range can be determined by identifying the y-values that the graph covers.

Front

What is a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed, typically in the form y = mx + b.