Question

The table on the left is that of a linear function, and the one on the right is that of an exponential function.

Can you tell which function has the higher rate of growth? How?
A)
There is not enough information to make a conclusion.
B)
The linear function is growing faster, because at x = 3 the y-value of the
linear function is larger.
C)
The exponential function is growing faster, because at x = 0 the y-value of
the exponential function is larger.
D)
The exponential function is growing faster, because it grows by a factor
that is multiplied by the previous y-value instead of being added like the
linear function.

Answer 1

The answer is option D) The exponential function is growing faster, because it grows by a factor that is multiplied by the previous y-value instead of being added like the linear function.

Explanation:

We can easily that by evaluating both functions at x = 10

Linear

f(x) = 7*10 = 70

Exponential

f(x) = 2^(10) = 1024