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

What does f(x) represent in function notation?

Back

f(x) represents the output of the function 'f' when the input is 'x'. It shows the relationship between the input and the output.

Front

If f(x) = 3x + 1, what is f(2)?

Back

f(2) = 3(2) + 1 = 7.

Front

How do you find the value of x when f(x) = 7 and f(x) = 3x + 1?

Back

Set 3x + 1 = 7, then solve for x: 3x = 6, so x = 2.

Front

What is the equation for a function that charges a flat fee of $3 plus $5 per hour?

Back

The equation is m(x) = 5x + 3, where m(x) is the total amount earned and x is the number of hours.

Front

If f(x) = 2x - 4, what is f(3)?

Back

f(3) = 2(3) - 4 = 2.

Front

What is the output of the function f(x) = x^2 when x = -2?

Back

f(-2) = (-2)^2 = 4.

Front

How do you express a linear function in function notation?

Back

A linear function can be expressed in the form f(x) = mx + b, where m is the slope and b is the y-intercept.

Front

What is the value of f(-3) if f(x) = 2x + 4?

Back

f(-3) = 2(-3) + 4 = -6 + 4 = -2.

Front

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

Back

f(0) = 0^2 + 1 = 1.