Question

Match each function with the description of its graph

Answer 1

`\begin{gathered} d(x)=5((1)/(3))^x \\ d(0)=5((1)/(3))^0 \\ d(0)=5 \end{gathered}`

The y-intercept of d(x) is (0,5) and the graph is,

As it is evident from the graph initially it decreases rapidly and then decreases slowly.

`\begin{gathered} h(x)=4^x \\ h(0)=4^0 \\ =1 \end{gathered}`

The y intercept of h(x) is (0,1) and the graph is,

As, it is evident form the graph the initially increases slowly and then increases rapidly.

`\begin{gathered} g(x)=((2)/(5))^x \\ g(0)=((2)/(5))^0 \\ =1 \end{gathered}`

The y-intercept of g(x) is (0,1) and the graph can be drawn as,

As it is evident form the graph the function initially decreases rapidly and then decreases slowly.