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

If w(x) = 3x - 7, what does w(2) equal?

Back

w(2) = 3(2) - 7 = 6 - 7 = -1.

Front

How do you find the value of x when w(x) = 14 for w(x) = 3x - 7?

Back

Set 3x - 7 = 14. Solve for x: 3x = 21, so x = 7.

Front

What is the value of f(4) if f(x) = x + 7?

Back

f(4) = 4 + 7 = 11.

Front

If f(x) = 3x - 12 and f(x) = -6, how do you find x?

Back

Set 3x - 12 = -6. Solve for x: 3x = 6, so x = 2.

Front

Evaluate f(x) = x + 3 when f(x) = 12.

Back

Set x + 3 = 12. Solve for x: x = 9.

Front

What is f(-4) if f(x) = x + 8?

Back

f(-4) = -4 + 8 = 4.

Front

What does it mean to evaluate a function?

Back

To evaluate a function means to find the output value for a given input by substituting the input into the function.

Front

What is the output of f(x) = 2x + 1 when x = 5?

Back

f(5) = 2(5) + 1 = 10 + 1 = 11.

Front

If f(x) = x^2, what is f(3)?

Back

f(3) = 3^2 = 9.