Evaluating Functions

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input from a set of inputs.

Front

What does it mean to evaluate a function?

Back

To evaluate a function means to find the output value when a specific input is substituted into the function.

Front

What is the notation for a function?

Back

Functions are typically written in the form f(x), where 'f' is the name of the function and 'x' is the input variable.

Front

How do you find f(-1) for the function f(x) = -4x + 4?

Back

Substitute -1 for x: f(-1) = -4(-1) + 4 = 4 + 4 = 8.

Front

Evaluate f(-3) for the function f(x) = 2x.

Back

Substitute -3 for x: f(-3) = 2(-3) = -6.

Front

What is the value of f(0) for the function f(x) = -2x + 5?

Back

Substitute 0 for x: f(0) = -2(0) + 5 = 5.

Front

How do you evaluate f(3) for the function f(x) = x + 4?

Back

Substitute 3 for x: f(3) = 3 + 4 = 7.

Front

Evaluate f(2) for the function f(x) = -3x + 3.

Back

Substitute 2 for x: f(2) = -3(2) + 3 = -6 + 3 = -3.

Front

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

Back

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

Front

What is the y-intercept of the function f(x) = -4x + 4?

Back

The y-intercept is the value of f(0), which is 4.