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 + 3, what is f(2)?

Back

f(2) = 2(2) + 3 = 7.

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

How do you find the value of g(x) = 5 - 6x when x = -5?

Back

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

Front

If g(x) = 11 - x, what is g(18)?

Back

g(18) = 11 - 18 = -7.

Front

What is the inverse of a function?

Back

The inverse of a function is a function that reverses the effect of the original function, swapping the input and output.

Front

If f(x) = -x + 3, what value of x makes f(x) = 7?

Back

Set -x + 3 = 7, solving gives x = -4.

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line, typically in the form f(x) = mx + b.