Function Notation

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 value?

Back

To evaluate a function at a specific value, substitute the value into the function's equation in place of the variable.

Front

Given t(x)=3x²+2, find t(4).

Back

t(4) = 3(4)² + 2 = 50.

Front

Given h(x)=3-8x, find h(1.25).

Back

h(1.25) = 3 - 8(1.25) = -7.

Front

Given f(x)=7-x², find f(4.2).

Back

f(4.2) = 7 - (4.2)² = -10.64.

Front

Given f(x)=4x-9, find f(3).

Back

f(3) = 4(3) - 9 = 3.

Front

Given h(x)=3x²+4x, find h(12).

Back

h(12) = 3(12)² + 4(12) = 480.

Front

What does the 'x' represent in function notation?

Back

In function notation, 'x' represents the input value or independent variable of the function.

Front

What is the output of a function?

Back

The output of a function is the value that results from substituting the input into the function's equation.

Front

What is the difference between a function and a relation?

Back

A function is a specific type of relation where each input is associated with exactly one output.