Evaluating Functions

Front

What is a function?

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

Evaluate f(x) = x^2 for f(-8).

Back

f(-8) = (-8)^2 = 64.

Front

What is the value of f(10) if f(x) = 3x + 9?

Back

f(10) = 3(10) + 9 = 39.

Front

Evaluate g(5) if g(x) = 2x - 6.

Back

g(5) = 2(5) - 6 = 4.

Front

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

Back

f(4) = 4(4) + 5 = 21.

Front

Given f(x) = 3x + 9, find f(-4).

Back

f(-4) = 3(-4) + 9 = -12.

Front

What is 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

What is 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 linear?

Back

A function is linear if it can be graphically represented as a straight line, which means it has the form f(x) = mx + b.

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.