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Chapter 2: Q. 5 (page 100)

When functions are defined by more than one equation, they are called __________________ functions.

Short Answer

Expert verified

When functions are defined by more than one equation, they are called piecewise-defined functions.

Step by step solution

01

Step 1. Given information

We have been given a statement as: When functions are defined by more than one equation, they are called __________________ functions.

We have been asked to fill in the blank.

02

Step 2. Consider absolute value functions

The absolute value functionf(x)=xis defined as:

f(x)=xif x≥0

and f(x)=-x if x≤0

This function is defined by more than one equation.

Such functions are called piecewise-defined functions.

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Most popular questions from this chapter

Match each graph to its function.

A. Constant function

B. Identity function

C. Square function

D. Cube function

E. Square root function

F. Reciprocal function

G. Absolute value function

H. Cube root function

In March 2011, Nicor Gas had the following rate schedule for natural gas usage in single-family residences:

Monthly customer charge -\(13.55

Distribution charge

First 20therms-0.1473/therm

Next 30therm -\)0.0579/therm

Over 50therm -\(0.0519/therm

Gas supply charge-\)0.51/therm

(a) What is the charge for using 40therms in a month?

(b) What is the charge for using 150therms in a month?

(c) Develop a model that gives the monthly charge Cfor x therms of gas.

(d) Graph the function found in part (c).

If f(x)=-3xifx<-10ifx=-12x2+1ifx>-1

Find: (a)f(-2) and (b) f(-1) (c)f(0)

In Problems 7–18, match each graph to one of the following functions:

A.y=x2+2B.y=-x2+2C.y=x+2D.y=-x+2E.y=(x-2)2F.y=-(x+2)2G.y=x-2H.y=-x+2I.y=2x2J.y=-2x2K.y=2xL.y=-2x

Match each graph to its function.

A. Constant function

B. Identity function

C. Square function

D. Cube function

E. Square root function

F. Reciprocal function

G. Absolute value function

H. Cube root function
See all solutions

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