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 intervals of its domain.

Front

How do you evaluate a piecewise function at a specific point?

Back

To evaluate a piecewise function at a specific point, determine which interval the point falls into and then use the corresponding expression to find the function's value.

Front

What does it mean if a piecewise function is undefined at a certain point?

Back

If a piecewise function is undefined at a certain point, it means that there is no corresponding output value for that input in the function's definition.

Front

Evaluate g(3) if g(x) = { -10 if x < 0; 2 if 0 ≤ x < 5; -4 if x ≥ 5 }

Back

g(3) = 2.

Front

Evaluate h(5) if h(x) = { -x^2 if x < 0; 5 if 0 ≤ x < 10; 3 if x ≥ 10 }

Back

h(5) = 5.

Front

Evaluate f(-3) if f(x) = { -1 if x < -2; -7 if -2 ≤ x < 0; 4 if x ≥ 0 }

Back

f(-3) = -7.

Front

Evaluate f(0) if f(x) = { -3 if x < 0; 18 if 0 ≤ x < 10; 4 if x ≥ 10 }

Back

f(0) = 18.

Front

What is the output of g(4) if g(x) = { -17 if x < 0; -5 if 0 ≤ x < 5; 13 if x ≥ 5 }

Back

g(4) = -5.

Front

What is the domain of a piecewise function?

Back

The domain of a piecewise function is the set of all input values (x-values) for which the function is defined, which may include multiple intervals.

Front

What is the range of a piecewise function?

Back

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