Question

The graph shows the function of f(x)=(3.5)^x

Answer 1

The one that passes through the origin. That one in the lower left part.

Answer 2

Answer:

The graph of the function is the last graph.

Step-by-step explanation:

To know which graph represents the function $g(x)=3.5^{x-1}$ you should give values to x and compare it with the values on the graphs, as follows:

When x=-3

$g(-3)=3.5^{-3-1}$

$g(-3)=3.5^{-4}$

$g(-3)=0.007$

So, the first point is (-3, 0.007)

When x=-2

$g(-2)=3.5^{-2-1}$

$g(-2)=3.5^{-3}$

$g(-2)=0.02$

So, the second point is (-2, 0.02)

When x=-1

$g(-1)=3.5^{-1-1}$

$g(-1)=3.5^{-2}$

$g(-1)=0.08$

So, the third point is (-1, 0.08)

When x=0

$g(0)=3.5^{0-1}$

$g(0)=3.5^{-1}$

$g(0)=0.29$

So, the fourth point is (0, 0.29)

When x=1

$g(1)=3.5^{1-1}$

$g(1)=3.5^{0}$

$g(1)=1$

So, the fifth point is (1, 1)

When x=2

$g(2)=3.5^{2-1}$

$g(2)=3.5^{1}$

$g(2)=3.5$

So, the fourth point is (2, 3.5)

If you compares all the points, the graph of the function is the last graph.