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Chapter 2: Q. 47 (page 80)

Draw the graph of a function whose domain is {x|-3鈮�x鈮�8,x鈮�5}and whose range is {y|-1鈮�y鈮�2,y鈮�0}What point(s) in the rectangle -3鈮�x鈮�8,-1鈮�y鈮�2cannot be on the graph? Compare your graph with those of other students. What differences do you see?

Short Answer

Expert verified

(5,0) can not be a point on the graph, That is why this point is represent by a hole on the graph above.

Step by step solution

01

Step 1.  Given Data

Domain of function - {x|-3鈮�x鈮�8,x鈮�5}

Range of the function -{y|-1鈮�y鈮�2,y鈮�0}

02

Step 2.  To Find

Draw the graph of a function.

03

Step 3.  Explanation

We can draw the graph -

(5,0) can not be a point on the graph, That is why this point is represent by a hole on the graph above.

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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

If (1,3)is a point on the graph of y=f(x), which of the following points must be on the graph ofy=2f(x)?

Graph the function using the techniques of shifting, compressing, stretching, and/or reflecting. Start with the graph of the basic function and show all stages. Be sure to show at least three key points. Find the domain and the range of each function. Verify your results using a graphing utility.

g(x)=x3+1

True or False

To obtain the graph of f(x)=x3+5,shift the graph of y=x3vertically up 5units.

In Problems 33鈥� 44, determine algebraically whether each function is even, odd, or neither.

h(x)=-x33x2-9
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