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Chapter 2: Q. 6 (page 89)

Concepts and Vocabulary

A function f is ___________ on an open interval I if, for any choice of x1 and x2 in I, withx1<x2wehavef(x1)<f(x2)

Short Answer

Expert verified

A function f is increasingon an open interval I if, for any choice of x1 and x2 in I, with

x1<x2wehavef(x1)<f(x2)

Step by step solution

01

Given information 

Given that in a function f on open interval I

x1<x2wehavef(x1)<f(x2)

02

Step 2:  Function 

Given that ,

x1andx2onI.x1<x2wehavef(x1)<f(x2)Whenxvaluesareincreasingthenfunctionvaluesarealsoincreasing

A function f is increasingon an open interval I if, for any choice of x1 and x2 in I, with

x1<x2wehavef(x1)<f(x2)

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Most popular questions from this chapter

Graph y=x. Then on the same screen graph y=2x, followed by y=4x, followed by

y=12x.What pattern do you observe? Can you predict the graph ofy=14x? ofy=5x

?

In Problems 7鈥�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

If 4,2is a point on the graph of y=f(x), which of the following points must be on the graph of y=f2(x)?

In Problems 7鈥�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
See all solutions

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