Function Notation Practice

Front

What is function notation?

Back

Function notation is a way to represent functions in mathematics, typically using symbols like f(x) to denote the output of a function f for a given input x.

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 expression and simplify.

Front

Given f(x) = 2x + 1, what is f(4)?

Back

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

Front

How do you find the input value when given the output of a function?

Back

To find the input value when given the output, set the function equal to the output and solve for the input variable.

Front

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

Back

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

Front

What is the general form of a linear function?

Back

The general form of a linear function is f(x) = mx + b, where m is the slope and b is the y-intercept.

Front

Given g(x) = 9x + 24, how do you find g(3)?

Back

Substitute 3 into the function: g(3) = 9(3) + 24 = 51.

Front

What is the process to solve for x in g(x) = 87 if g(x) = 9x + 24?

Back

Set 9x + 24 = 87, then solve for x: 9x = 63, x = 7.

Front

How do you evaluate a function that includes a square root?

Back

Substitute the value into the function and simplify, ensuring to follow the order of operations.

Front

If g(x) = √(x - 7), what is g(8)?

Back

g(8) = √(8 - 7) = √1 = 1.