Evaluating Functions

Front

What is function notation?

Back

Function notation is a way to represent a function using symbols. For example, instead of writing 'y = 2x - 3', we write 'f(x) = 2x - 3'. This notation helps to clearly identify the output of the function for a given input.

Front

Evaluate f(-3) if f(x) = 2x - 3.

Back

f(-3) = 2(-3) - 3 = -6 - 3 = -9.

Front

What does it mean to evaluate a function?

Back

To evaluate a function means to find the output value of the function for a specific input value.

Front

If g(x) = 5 - 6x, what is g(5)?

Back

g(5) = 5 - 6(5) = 5 - 30 = -25.

Front

How do you find the value of x if f(x) = -2?

Back

You need to set the function equal to -2 and solve for x. For example, if f(x) = 2x - 3, set 2x - 3 = -2 and solve for x.

Front

What is the output of a function at a specific input?

Back

The output of a function at a specific input is the value that the function produces when that input is substituted into the function.

Front

Evaluate f(8) if the graph shows f(8) = 1.

Back

f(8) = 1.

Front

What is the difference between a function and a relation?

Back

A function is a specific type of relation where each input has exactly one output.

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.