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Cogito

Algebra 1 · Chapter 3 · Lesson 5

Practice Worksheet

Piecewise Functions

Different rules on different stretches.

11 problems · about 22 minutes · F-IF.C.7

NameDate

Figure — use these to answer the problems

One piece of a piecewise function is just a line on its own stretch.

y = 2x

Slope of this piece2

Intercept0

Figure 1

Warm Up

Straightforward practice. Get the method working first.

4 problems

f(x) = 5x for x < 2, else x + 50. What is f(1)?
Answer
f(x) = 2x for x < 5, else 100. What is f(3)?
Answer
Same function. What is f(9)?
Answer
Same function. What is f(5)?
Answer

Build It Up

The same ideas with more to keep track of.

3 problems

May two pieces both claim the same input? 1 for yes, 0 for no.
Answer
f(x) = x + 1 for x ≤ 0, else 4x. What is f(0)?
Answer
Same function. What is f(2)?
Answer

Stretch Yourself

Mixed problems. Work out what kind of question it is before you start.

4 problems

8
Order the steps for evaluating a piecewise function.
Write 1 to 3 in the boxes to put these in order.
- Check which condition the input satisfies
- Select that rule only
- Substitute into it
Is a postage cost by weight band piecewise? 1 for yes, 0 for no.
Answer
Below the Threshold
f(x) = 3x for x < 4, else x + 20. What is f(2)?
Answer
Above It
Same function. What is f(10)?
Answer