Function Notation

Front

What is function notation?

Back

Function notation is a way to represent a function using symbols. It typically uses the format f(x), where 'f' is the name of the function and 'x' is the input variable.

Front

How do you evaluate a function at a specific value?

Back

To evaluate a function at a specific value, substitute the value into the function in place of the variable. For example, to find f(2) for f(x) = 3x + 1, replace x with 2: f(2) = 3(2) + 1 = 7.

Front

What does f(x) = 6x mean?

Back

This means that the output of the function f for any input x is equal to 6 times that input. For example, if x = 2, then f(2) = 6(2) = 12.

Front

How do you find the input when given the output?

Back

To find the input when given the output, set the function equal to the output and solve for the variable. For example, if f(x) = 6x and f(x) = -24, set 6x = -24 and solve for x.

Front

What is the first step to find f(1) if f(x) = 2x + 1?

Back

The first step is to plug 1 in for all the x's in the function. So, f(1) = 2(1) + 1 = 3.

Front

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

Back

To evaluate f(-2), substitute -2 for x: f(-2) = -2 + 3 = 1.

Front

What is the output of h(x) = -9x + 5 when x = 8?

Back

To find h(8), substitute 8 for x: h(8) = -9(8) + 5 = -72 + 5 = -67.

Front

How do you evaluate f(-2) for f(x) = x + 3?

Back

Substitute -2 for x: f(-2) = -2 + 3 = 1.

Front

What is the meaning of f(x) = x + 3?

Back

This means that for any input x, the output is the input plus 3. For example, if x = 1, then f(1) = 1 + 3 = 4.

Front

If f(x) = 2x + 1, what is f(0)?

Back

To find f(0), substitute 0 for x: f(0) = 2(0) + 1 = 1.