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Chapter 7: Q6. (page 356)

Determine consecutive values of x between which each real zero of each function is located. Then draw the graph.

fx=x3-x2+1

Short Answer

Expert verified

The consecutive values of x between which each real zero of the function is located are-1 and 0.

Step by step solution

01

Step 1. Given Information.

Given to determine the consecutive values of x between which each real zero of the function fx=x3-x2+1 is located. Then the graph needs to be drawn.

02

Step 2. Explanation.

The real zero of a function lies where the value of the function changes from positive to negative or negative to positive.

So, making a table of values of the function:

x

f(x)

-2

-11

-1

-1

0

1

1

1

2

5


Here the value of the function changes only once between -1 and 0.

Graphing the function using the values in the table:

03

Step 3. Conclusion.

Hence the consecutive values of x between which each real zero of the function is located are -1 and 0.

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Most popular questions from this chapter

If px=3x2-2x+5andrx=x3+x+1 then find rx+1-rx2.

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  1. Graph each function by making a table of values.
  2. Determine consecutive values of x between which each real zero is located.
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