Function Notation

Front

What is function notation?

Back

Function notation is a way to represent a function using symbols, typically in the form 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 in place of the variable. For example, for f(x) = 2x + 1, to find f(2), substitute 2 for x: f(2) = 2(2) + 1 = 5.

Front

What does f(1) represent in function notation?

Back

f(1) represents the output of the function f when the input is 1.

Front

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

Back

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

Front

What is the first step to find f(1) if f(x) = 2x + 1?

Back

The first step is to plug 1 in for all the x's: f(1) = 2(1) + 1 = 3.

Front

How do you find f(4) if f(x) = 2x + 1?

Back

To find f(4), substitute 4 for x: f(4) = 2(4) + 1 = 9.

Front

If f(x) = x^2 + 7, what is f(2)?

Back

f(2) = (2)^2 + 7 = 4 + 7 = 11.

Front

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

Back

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

Front

What does it mean to evaluate a function?

Back

Evaluating a function means calculating the output value for a given input by substituting the input into the function.

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.