FLASHCARD 3.5 - Equations as Functions

Front

What is a function in mathematics?

Back

A function is a relation between a set of inputs and a set of possible outputs where each input is related to exactly one output.

Front

What does the equation y = mx + b represent?

Back

This is the slope-intercept form of a linear equation, where m is the slope and b is the y-intercept.

Front

How do you find the value of y in the equation y = x + 3 when x = -2?

Back

Substitute -2 for x: y = -2 + 3 = 1.

Front

What is the slope in the equation y = 4x + 5?

Back

The slope (m) is 4.

Front

What is the y-intercept in the equation y = 4x + 5?

Back

The y-intercept (b) is 5.

Front

How do you evaluate y = 5 - 6x when x = -5?

Back

Substitute -5 for x: y = 5 - 6(-5) = 5 + 30 = 35.

Front

What is the value of y when x = 4 in the equation y = 4x + 5?

Back

Substitute 4 for x: y = 4(4) + 5 = 16 + 5 = 21.

Front

What does it mean for a function to be linear?

Back

A linear function is a function that graphs to a straight line, characterized by a constant rate of change.

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.