Question

Which exponential function passes through the points (0, 21) and (1,3)?

Answer 1

Answer:

Option C

Explanation:

Given the following question:

Point A = (0, 21)
Point B = (1, 3)

In order to find the answer, we simply use the process of elimination and plot all the following functions in till we have our answer.

Option A:
$7(\frac{1}{3} )^x$
After plotting the function, you will see that it does not in fact intercept at point B or (1, 3).

Option B:
$7(\frac{1}{21} )^x$
After plotting the function, you will see that once again, it does not intercept at point B.

Option C:
$21(\frac{1}{7} )^x$
After plotting the given function, you will see that not only does the line intercept at Point B or (1, 3), but it also intercepts at Point A or (0, 21)

Which means your answer is indeed option C.

Hope this helps.