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

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

Back

g(2) = 3(2) + 1 = 6 + 1 = 7.

Front

What does the notation g(x) represent?

Back

g(x) represents the output of the function g for a given input x.

Front

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

Back

g(2) = 2 + 1 = 3.

Front

What is the output of j(x) = 2x + 3 when x = -3?

Back

j(-3) = 2(-3) + 3 = -6 + 3 = -3.

Front

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

Back

b(-2) = 2(-2) - 3 = -4 - 3 = -7.

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's equation and simplify.

Front

If g(x) = 3x + 1, what is g(10)?

Back

g(10) = 3(10) + 1 = 30 + 1 = 31.

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

What is the slope in the function g(x) = 3x + 1?

Back

The slope is 3, which indicates the rate of change of the function.