Consider the function whose rule is f (x) = P(a^x). Suppose that you also know that the function passes through the points (-1,7) and (4,3).

Draw a rough sketch.
Find the values of P and a. If these values are irrational, write the answer in decimal form, rounded to the nearest thousandth.

Question

Consider the function whose rule is f (x) = P(a^x).  Suppose that you also know that the function passes through the points (-1,7) and (4,3).

Draw a rough sketch.
Find the values of P and a.  If these values are irrational, write the answer in decimal form, rounded to the nearest thousandth.

anonymous · Answer

$$f(x) = P*a^x$$

anonymous · Answer

I was thinking I need to use substitution to find the values, but I just can't get it to work.

zepdrix · Answer

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These numbers are coming out really funny, i may have made a mistake somewhere in there.

But hopefully it at least shows you the steps you need to take to solve for P and a