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

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).

c)

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.

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milcah answered 2 years ago

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

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