For each value of x in Table 1: Type the value in the input box for the graph be
ID: 3034982 • Letter: F
Question
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.Explanation / Answer
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.)
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