Given the function f(x)=abx

Question

Identify the base b, if the graph passes through the point (1,6)
and (2,18)
(1 point)
Responses

5
5

2
2

4
4

3

Answer 1

To find the base b, we need to substitute the given points into the equation f(x) = abx.

First, let's substitute the first point (1,6):
6 = ab(1)

Since the exponent is 1, the equation becomes 6 = ab.

Next, let's substitute the second point (2,18):
18 = ab(2)

This equation can be simplified to 18 = 2ab.

Now we can solve these two equations simultaneously to find the value of b.

From the first equation, we have ab = 6.

Substituting this value into the second equation, we get 18 = 2(6), which simplifies to 18 = 12.

Since 18 is not equal to 12, this means there is no value for b that satisfies both equations.

Therefore, the answer is none of the above.