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

What does f(x) represent in a function?

Back

f(x) represents the output of the function f for a given input x.

Front

How do you evaluate a function at a specific point?

Back

To evaluate a function at a specific point, substitute the value of the variable into the function's equation and simplify.

Front

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

Back

f(4) = 4(4) + 5 = 16 + 5 = 21.

Front

Evaluate f(x) = 3x² - 11 for f(-5).

Back

f(-5) = 3(-5)² - 11 = 3(25) - 11 = 75 - 11 = 64.

Front

What is the output of f(x) = 2x + 2 when f(x) = 2?

Back

Set 2x + 2 = 2, then 2x = 0, so x = 0.

Front

Evaluate f(t) = -2t² + 1 for f(-3).

Back

f(-3) = -2(-3)² + 1 = -2(9) + 1 = -18 + 1 = -17.

Front

Evaluate g(x) = 5 - 6x for g(-5).

Back

g(-5) = 5 - 6(-5) = 5 + 30 = 35.

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 (f(x) values) that the function can produce.