7. The function y= A(r)=ar is a one-to-one function that uses a circle’s radius as an input and gives the circle's area as its output. Selected values of this function are shown in the table below. 1 2 4 5 A(r) 97 16л 25л 367 (a) Determine the values of 4" (9x) and A" (367) (b) Determine the values of A' (1007) and from using the table. А" (225л). (c) The original function y= A(r) converted an input, the circle’s radius, to an output, the circle's area. What are the inputs and outputs of the inverse function?

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
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7. The function y= A(r)=ar² is a one-to-one function that uses a circle's radius as an input and gives the
circle's area as its output. Selected values of this function are shown in the table below.
1
2
3
4
5
6
A(r)
4л
97
167
25л
36л
(a) Determine the values of A (97) and A (36x)
(b) Determine the values of A' (100z) and
from using the table.
A" (225л).
(c) The original function y= A(r) converted an input, the circle's radius, to an output, the circle's area.
What are the inputs and outputs of the inverse function?
Input:
Output:
Transcribed Image Text:7. The function y= A(r)=ar² is a one-to-one function that uses a circle's radius as an input and gives the circle's area as its output. Selected values of this function are shown in the table below. 1 2 3 4 5 6 A(r) 4л 97 167 25л 36л (a) Determine the values of A (97) and A (36x) (b) Determine the values of A' (100z) and from using the table. A" (225л). (c) The original function y= A(r) converted an input, the circle's radius, to an output, the circle's area. What are the inputs and outputs of the inverse function? Input: Output:
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