Drag the tiles tobthe correct boxes to complete the pair

Answer:Part 1) [tex]d(x)=5(\frac{1}{3})^{x}[/tex] ----> The y-intercept is the point (0,5), graph initially decreases rapidly and then decreases slowlyPart 2) [tex]g(x)=(\frac{2}{5})^{x}[/tex] ----> The y-intercept is the point (0,1), graph initially decreases rapidly and then decreases slowlyPart 3) [tex]h(x)=(4)^{x}[/tex] ----> The y-intercept is the point (0,1),graph initially increases slowly and then increases rapidlyStep-by-step explanation:Part 1) we have[tex]d(x)=5(\frac{1}{3})^{x}[/tex]Find the y-interceptRemember that the y-intercept is the value of y when the value of x is equal to zero (initial value)For x=0Substitute[tex]d(0)=5(\frac{1}{3})^{0}=5[/tex]The y-intercept is the point (0,5)using a graphing toolsee the attached figure N 1The graph initially decreases rapidly and then decreases slowlyPart 2) we have[tex]g(x)=(\frac{2}{5})^{x}[/tex]Find the y-interceptRemember that the y-intercept is the value of y when the value of x is equal to zero (initial value)For x=0Substitute[tex]g(0)=(\frac{2}{5})^{0}=1[/tex]The y-intercept is the point (0,1)using a graphing toolsee the attached figure N 2The graph initially decreases rapidly and then decreases slowlyPart 3) we have[tex]h(x)=(4)^{x}[/tex]Find the y-interceptRemember that the y-intercept is the value of y when the value of x is equal to zero (initial value)For x=0Substitute[tex]h(0)=(4)^{0}=1[/tex]The y-intercept is the point (0,1)using a graphing toolsee the attached figure N 3The graph initially increases slowly and then increases rapidly