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's equation in place of the variable.

Front

Given f(x) = 16 - x, find f(-4).

Back

f(-4) = 16 - (-4) = 16 + 4 = 20.

Front

What does p(x) = 3x + 4 represent?

Back

This represents a linear function where the slope is 3 and the y-intercept is 4.

Front

Find p(-3) if p(x) = 3x + 4.

Back

p(-3) = 3(-3) + 4 = -9 + 4 = -5.

Front

Given f(x) = -x + 12, find f(-2).

Back

f(-2) = -(-2) + 12 = 2 + 12 = 14.

Front

What is the formula for f(x) = \frac{1}{2}x + x?

Back

This can be simplified to f(x) = \frac{3}{2}x.

Front

Find f(10) if f(x) = \frac{1}{2}x + x.

Back

f(10) = \frac{1}{2}(10) + 10 = 5 + 10 = 15.

Front

Given f(x) = 3x + 1, find f(-4).

Back

f(-4) = 3(-4) + 1 = -12 + 1 = -11.

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.