Function Notation Practice

Front

What is function notation?

Back

Function notation is a way to represent a function using symbols, typically written as 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 point?

Back

To evaluate a function at a specific point, substitute the value of the input variable into the function's equation and simplify.

Front

Given f(x) = 2x + 1, find f(4).

Back

f(4) = 2(4) + 1 = 8 + 1 = 9.

Front

If f(x) = 2x + 1, what is x when f(x) = 16?

Back

Set 2x + 1 = 16, then solve for x: 2x = 15, x = 15/2.

Front

What is the output of f(x) = 3x^2 + 3 when x = 0?

Back

f(0) = 3(0)^2 + 3 = 0 + 3 = 3.

Front

How do you find the output of a function machine?

Back

To find the output of a function machine, apply the function's rule to the input value provided.

Front

Given g(x) = 9x + 24, find g(3).

Back

g(3) = 9(3) + 24 = 27 + 24 = 51.

Front

What does it mean for a function to be linear?

Back

A linear function is a function that graphs to a straight line, typically in the form f(x) = mx + b, where m is the slope and b is the y-intercept.

Front

What is the slope of the function f(x) = 2x + 1?

Back

The slope of the function f(x) = 2x + 1 is 2.

Front

What is the y-intercept of the function f(x) = 2x + 1?

Back

The y-intercept of the function f(x) = 2x + 1 is 1.