Question

A graph of the exponential function g(x) is given.

g(a)
22222222
24
20
18
16
14
12
10
8
6
2
0
Write the equation to represent g(x).
Og(x) = 3.3*
Og(x)=()*
Og(x) = 3*
Og(x)=3-()*

Answer 1

Explanation:

because the graph shows for x = 0 that y = 3, and for x = 1 y = 1, it can be only the 4th answer option :

g(x) = 3×(⅓)^x

the first option is out, because for x = 1 we get

y = 3×3¹ = 3×3 = 9

and not 1, so, this does not fit the graph.

the second option is out, because for x = 0 we get

y = (⅓)⁰ = 1

and not 3. so, this does not fit the graph.

the third option is out, because for x = 0 we get

y = 3⁰ = 1

and not 3. so, this does not fit the graph.