For each value of x in Table 1 Type the value in the input b

For each value of x in Table 1: Type the value in the input box for the graph below and press the enter key (the left-hand enter key, not the one on the keypad). A red point will appear on the graph at that X-value. Using the graph, estimate the value of f (x). Write your answer in Table 1. Select the component function whose graph appears at that x-value. (either -(x -1)^2 + 1 or 1/x) Plug the x-value into the appropriate component function and evaluate. Compare your answer to your estimated function value.

Solution

The table, duly filled up is as under:

x-value

Estimated f(x) value

Component function

f(x)

0

0

-(x-1)² +1

-(0-1)²+1 = -1+1=0

-1

-3

-(x-1)² +1

-(-1-1)² +1 = -4+1=- 3

0.5

0.75

-(x-1)² +1

-(0.5-1)²+1=-0.25+1= 0.75

1.5

2/3 = 0.67(approx.)

1/x

1/1.5= 1/(3/2) = 2/3 = 0.6666666= 0.67 (approx.)

x-value	Estimated f(x) value	Component function	f(x)
0	0	-(x-1)2 +1	-(0-1)2+1 = -1+1=0
-1	-3	-(x-1)2 +1	-(-1-1)2 +1 = -4+1=- 3
0.5	0.75	-(x-1)2 +1	-(0.5-1)2+1=-0.25+1= 0.75
1.5	2/3 = 0.67(approx.)	1/x	1/1.5= 1/(3/2) = 2/3 = 0.6666666= 0.67 (approx.)