Evaluating Piecewise Functions

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

How do you evaluate a piecewise function?

Back

To evaluate a piecewise function, identify the appropriate piece of the function that corresponds to the input value and then calculate the output using that piece.

Front

What does the notation f(x) mean?

Back

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

Front

What is 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

What does the restriction x > 5 mean for the domain?

Back

It means that the function is only defined for values of x that are greater than 5.

Front

Evaluate f(6) if f(x) = { 7 if x > 5; -5 if x ≤ 5 }

Back

f(6) = 7.

Front

What is 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

Evaluate f(0) if f(x) = { 4 if x < 1; 1 if x = 1; -2 if x > 1 }

Back

f(0) = 4.

Front

What is the significance of the piecewise function's conditions?

Back

The conditions determine which formula to use for a given input value.

Front

Evaluate f(-4) if f(x) = { 7 if x < 0; 2 if x = 0; -5 if x > 0 }

Back

f(-4) = 7.