Question

Which values of a and b in the exponential function y = a*b^x would result in the following graph?a.a = 1, b = 2c.a = 2, b = 1b.a = -1, b = 2d.a = -2, b = 1

Answer 1

From the given graph we get that the graph of the function passes through (0,1) and (1,2), therefore we can set the following system of equations:

`\begin{gathered} 1=a\cdot b^0=a, \\ 2=a\cdot b^1=ab\text{.} \end{gathered}`

Substituting the first equation in the second one we get:

`\begin{gathered} 2=1\cdot b, \\ b=2. \end{gathered}`

Therefore, the exponential function that is represented by the given graph is:

`y=1\cdot2^x.`

Answer: Option a.