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

If f(x) = 2x + 1, what is f(1)?

Back

f(1) = 2(1) + 1 = 3.

Front

If f(x) = x^2, what is f(4)?

Back

f(4) = 4^2 = 16.

Front

What is the value of x when f(x) = 16 if f(x) = x^2?

Back

x = 4 and x = -4.

Front

If f(x) = 3x - 5, what is f(0)?

Back

f(0) = 3(0) - 5 = -5.

Front

What is the output of f(-3) if f(x) = x + 3?

Back

f(-3) = -3 + 3 = 0.

Front

If f(x) = x^2 - 4, what is f(2)?

Back

f(2) = 2^2 - 4 = 0.

Front

What is the value of x if f(x) = -2 for f(x) = 2x - 10?

Back

x = 4.

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.