IXL - Evaluate piecewise-defined functions (Algebra 2 practice)

Find

(

–

)

for this piecewise-defined function.

(

)

– 2 x + 6	if x ≤ 2
4 3 x + 2	if x > 2

Write your answer as an integer or as a fraction in simplest form.

(

–

)

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Learn with an example

question

Find

(

)

for this piecewise-defined function.

(

)

– 3 x – 7	if x < 6
– 4 x + 3	if x ≥ 6

Write your answer as an integer or as a fraction in simplest form.

(

)

solution

Look at the piecewise-defined function:

(

)

– 3 x – 7	if x < 6
– 4 x + 3	if x ≥ 6

It uses a different expression on each piece of the function's domain.

It uses
–
3
x
–
7
for values of
x
that are less than 6.
It uses
–
4
x
+
3
for values of
x
that are greater than or equal to 6.

You want to find

(

)

or the function's value when

is 4. Since 4 is less than 6, use the expression

–

(

)

–

(

)

–

Looking for more? Try these:

Lesson: Piecewise functions

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CC.1Evaluate a linear function

A.1Compare and order integers

Lesson: Piecewise functions

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