Evaluate Functions

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input.

Front

What does it mean to evaluate a function?

Back

To evaluate a function means to calculate the output value for a given input.

Front

What is the domain of a function?

Back

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

Front

What is the range of a function?

Back

The range is the set of all possible output values (y-values) for the function.

Front

How do you find the value of y in the function y = mx + b?

Back

Substitute the value of x into the equation and solve for y.

Front

What is the slope-intercept form of a linear function?

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

Evaluate y = 2x + 3 when x = 5.

Back

y = 2(5) + 3 = 10 + 3 = 13.

Front

What is an ordered pair?

Back

An ordered pair is a pair of numbers (x, y) that represent a point on a coordinate plane.

Front

What is a relation in mathematics?

Back

A relation is a set of ordered pairs, which can represent a function or not.

Front

Evaluate C(x) = 3x + 2 when x = 4.

Back

C(4) = 3(4) + 2 = 12 + 2 = 14.