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 it mean to evaluate a function?

Back

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

Front

What is the notation for a function?

Back

Functions are typically denoted by letters such as f, g, or h, followed by parentheses containing the input value, e.g., f(x).

Front

How do you find f(0) for a function f(x)?

Back

Substitute 0 into the function's equation in place of x and simplify to find the output.

Front

What is the value of g(5) if g(x) = 4x - 16?

Back

g(5) = 4(5) - 16 = 20 - 16 = 4.

Front

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

Back

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

Front

What is the output of r(x) = 2x + 4 when x = -2?

Back

r(-2) = 2(-2) + 4 = -4 + 4 = 0.

Front

How do you evaluate f(x) = 4x + 5 for f(4)?

Back

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

Front

What is the value of f(10) if f(x) = 3x - 15?

Back

f(10) = 3(10) - 15 = 30 - 15 = 15.

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.