Q2 PC Review - Piecewise and Function Notation

Front

What is a piecewise function?

Back

A piecewise function is a function that is defined by different expressions or formulas for different parts of its domain.

Front

Define the domain of a function.

Back

The domain of a function is the set of all possible input values (x-values) for which the function is defined.

Front

Define the range of a function.

Back

The range of a function is the set of all possible output values (y-values) that the function can produce.

Front

What does it mean if a function's range is all real numbers from 0 to 8?

Back

It means that the output values of the function can take any value between 0 and 8, inclusive.

Front

If a function is defined as f(x) = 3x + 2, what is f(2)?

Back

f(2) = 3(2) + 2 = 8.

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 function name and x is the input variable.

Front

How do you find the value of x when f(x) = 5?

Back

You set the function equal to 5 and solve for x.

Front

What is the difference between the domain and range of a function?

Back

The domain refers to the input values, while the range refers to the output values of the function.

Front

True or False: The domain of a function can include negative numbers.

Back

TRUE, the domain can include negative numbers depending on the function.

Front

If a function's domain is all whole numbers from 0 to 9, what does this imply?

Back

It implies that the function is only defined for the integers 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9.