For each of the following, find the linear to linear function f(x) satisfying the given requirements....

For each of the following, find the linear to linear function f(x) satisfying the given requirements.

(a) f(0) = 0, f(10) = 15, f(20) = 20

(b) f(0) = 15, f(5) = 6, f(20) = 5

(c)

f(10) = 8, f(30) = 12,and the graph of f(x) has y = 20 as its horizontal asymptote

Solutions

Expert Solution

Answer to the above question -

a) Since f(x) is a linear-to-linear function , We know

f(x) = (ax + b) / (x +c ) ; where a , b and c are constants.

we need to find a , b and c then we get resultant function.

b).

We can check that we have done the algebra correctly by evaluating f(x) at respective x.

If we get given value at respective x then our function is correct.

Please comment if you have any queries related to the answer.
Please UPVOTE if answer was helpful.

milcah answered 1 year ago

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