Question

Drag the tiles tobthe correct boxes to complete the pair

Answer 1

Answer:

Part 1) $d(x)=5(\frac{1}{3})^{x}$ ----> The y-intercept is the point (0,5), graph initially decreases rapidly and then decreases slowly

Part 2) $g(x)=(\frac{2}{5})^{x}$ ----> The y-intercept is the point (0,1), graph initially decreases rapidly and then decreases slowly

Part 3) $h(x)=(4)^{x}$ ----> The y-intercept is the point (0,1),graph initially increases slowly and then increases rapidly

Step-by-step explanation:

Part 1) we have

$d(x)=5(\frac{1}{3})^{x}$

Find the y-intercept

Remember that the y-intercept is the value of y when the value of x is equal to zero (initial value)

For x=0

Substitute

$d(0)=5(\frac{1}{3})^{0}=5$

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

using a graphing tool

see the attached figure N 1

The graph initially decreases rapidly and then decreases slowly

Part 2) we have

$g(x)=(\frac{2}{5})^{x}$

Find the y-intercept

Remember that the y-intercept is the value of y when the value of x is equal to zero (initial value)

For x=0

Substitute

$g(0)=(\frac{2}{5})^{0}=1$

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

using a graphing tool

see the attached figure N 2

The graph initially decreases rapidly and then decreases slowly

Part 3) we have

$h(x)=(4)^{x}$

Find the y-intercept

Remember that the y-intercept is the value of y when the value of x is equal to zero (initial value)

For x=0

Substitute

$h(0)=(4)^{0}=1$

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

using a graphing tool

see the attached figure N 3

The graph initially increases slowly and then increases rapidly