Peer Response 1

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RelationsandFunctionspeer1.docx

· Respond to your classmates’ posts in at least 25 words.

PEERS RESPONSE:

I was assigned number 42, for solving the problems 3 from page 708 and 3 from page 719.

Problem 3 from Page 708. 

f(x)=2x−1.

The function of this equation is (x)=2x−1. 

The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined. Domain: (−∞, ∞). The range is a set of all valid y values: Range (−∞, ∞).

The relation is a set of ordered pairs of the x and y intercepts.  This passes the Vertical Line Test because, all x values have a single y value.

x

f(x)=2x−1

y

1/2

2(1/2)-1

0

0

2(0)-1

-1

1

2(1)-1

1

-1/2

2(-1/2)-1

-2

Problem 3 from Page 719

f(x) = (x − 3)2 For the Horizontal Transformation of this equation since any real number can be used to replace x in (x − 3)2, the domain is (−∞, ∞). And since the graph continues up from (3, 0), the range is [0, ∞).

x

f(x) = (x-3)^2

y

3

(3-3)^2

0

2

(2-3)^2

1

1

(1-3)^2

4

0

(-3-3)^2

9

-Angela