(Q4) Which values of a and b in the exponential function y = a (bx) would result in the following graph?

Question

asked Mar 16, 2020 2.7k views

2 Answers

Gang Gao · Answer 1 · 2020-03-22T10:05:26+0000

Answer: second option.

Explanation:

By definition, you know that:

b^0=1

You can see in the graph that the interception with the y-axis is at -1.

Therefore, in that point: x=0 and y=-2

Substitute into the function and solve for a:

$-1=a(b)^0\\-1=a(1)\\a=-1$

Now, choose any point of the function and substitute this point and the value of a into the function and solve for b. Then you obtain:

Point (2,-4)

$-4=-1(b)^2\\(-4)/(-1)=b^2\\b=√(4)\\b=2$