Question

Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.

Match each function with the description of its graph.

Answer 1

Explanation:

g(x)=(2/5)^x ---> y intercept (0,1). decreases rapidly then decreases slowly

d(x)=5(1/3)^x ---> y intercept (0,5). decreases rapidly then decreases slowly

h(x)=4^x ---> y intercept (0,1). increases slowly then rapidly

Answer 2

Part 1)
`g(x)=(2)/(5)^(x)` ----> y-intercept at (0,1)

The graph initially decreases rapidly and then decreases slowly

Part 2)
`d(x)=5((2)/(5))^(x)` ----> y-intercept at (0,5)

The graph initially decreases rapidly and then decreases slowly

Part 3)
`h(x)=4^(x)` ----> y-intercept at (0,1)

The graph initially increases slowly and then increases rapidly

Explanation:

we know that

The y-intercept is the value of y when the value of x is equal to zero

Part 1) we have

`g(x)=(2)/(5)^(x)`

Find the y-intercept

For x=0

`g(0)=(2)/(5)^(0)=1`

The y-intercept is the point (0,1)

using a graphing tool

see the attached figure N 1

therefore

y-intercept at (0,1)

The graph initially decreases rapidly and then decreases slowly

Part 2) we have

`d(x)=5((2)/(5))^(x)`

Find the y-intercept

For x=0

`d(0)=5((2)/(5))^(0)`

`d(0)=5(1)=5`

The y-intercept is the point (0,5)

using a graphing tool

see the attached figure N 2

therefore

y-intercept at (0,5)

The graph initially decreases rapidly and then decreases slowly

Part 3) we have

`h(x)=4^(x)`

Find the y-intercept

For x=0

`h(0)=4^(0)=1`

The y-intercept is the point (0,1)

using a graphing tool

see the attached figure N 3

therefore

y-intercept at (0,1)

The graph initially increases slowly and then increases rapidly