Evaluating Functions

Front

What is the domain of the function f(x) = -3x + 8 when f(x) = 2?

Back

The domain is 2.

Front

Evaluate f(-3) for the function f(x) = -3x + 8.

Back

f(-3) = 2.

Front

Which of the following sets of values represents a function? (9,5) (10,5) (9,-5) (10,-5), (3,4) (4,-3) (7,4) (3, 8), (6,-5) (7, -3) (8, -1) (9, 1), (2, -2) (5, 9) (5, -7) (1, 4)

Back

(6,-5) (7, -3) (8, -1) (9, 1) is a function.

Front

Evaluate f(4) for the function f(x) = 4x + 5.

Back

f(4) = 21.

Front

For what value of x does f(x) = -2 in the function f(x) = -3x + 8?

Back

x = -5.

Front

What is a function?

Back

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

Front

What is the range of a linear function?

Back

The range is all real numbers unless restricted by the context.

Front

How do you find the value of f(x) for a given x?

Back

Substitute the value of x into the function's equation.

Front

What does it mean for a set of ordered pairs to be a function?

Back

Each input (x-value) must correspond to exactly one output (y-value).

Front

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

Back

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