Question

Drag the tiles to the correct boxes to complete the pairs.

Match the exponential functions to their y-intercepts.

Answer 1

1.
`f(x)=-10^(x-1)-10` -
`-(101)/(10)`

2.
`f(x)=-3^(x+5)-9` -
`-252`

3.
`f(x)=-3^(x-2)-1` -
`-(10)/(9)`

4.
`f(x)=-17^(x-1)+2` -
`(33)/(17)</p><p><u><strong>Step-by-step explanation:</strong></u></p><p>We are given the exponential functions and we are to match them with their y-intercepts.</p><p><strong>1. [tex]f(x)=-10^(x-1)-10`:

Substituting x = 0 to find the y-intercept:

`f(x)=-10^(0-1)-10 = -(101)/(10)`

y-intercept --->
`-(101)/(10)`

2.
`f(x)=-3^(x+5)-9`:

Substituting x = 0 to find the y-intercept:

`f(x)=-3^(x+5)-9=-252`

y-intercept --->
`-252`

3.
`f(x)=-3^(x-2)-1`:

Substituting x = 0 to find the y-intercept:

`f(x)=-3^(x-2)-1=-(10)/(9)`

y-intercept --->
`-(10)/(9)`

4.
`f(x)=-17^(x-1)+2`:

Substituting x = 0 to find the y-intercept:

`f(x)=-17^(x-1)+2=(33)/(17)`

y-intercept ---> [tex]\frac{33}{17}