Question

Asked Jun 16, 2019

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Use the table feature of a graphing calculator to predict the limit. Check your work by using either a graphical or an algebraic approach. (If you need to use or –, enter INFINITY or –INFINITY, respectively.)

lim x→8 f(x),

where
f(x) =

3 + x − x^{2} |
if x | ≤ | 8 |

14 − 9x | if x | > | 8 |

Step 1

**Step 1:** Go to "Y=", then type in the function 3 + x − x^{2}

**Step 2:** Go to "TBL SET" (2nd+WINDOW), then set TblStart= 7.95 and ΔTbl=0.01.

You will end up getting the table as shown on the white board.

Step 2

Now repeat the steps for y = 14 − 9x for x > 8

**Step 1:** Go to "Y=", then type in the function 14 - 9x

**Step 2:** Go to "TBL SET" (2nd+WINDOW), then set TblStart= 8.01 and ΔTbl=0.01

The output will be as shown on the white board.

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