Question

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

Match the exponential functions to their y-intercepts.

Answer 1

Answer:

1. $f(x)=-10^{x-1}-10$ - $-\frac{101}{10}$

2. $f(x)=-3^{x+5}-9$ - $-252$

3. $f(x)=-3^{x-2}-1$ - $-\frac{10}{9}$

4.  $f(x)=-17^{x-1}+2$ - $\frac{33}{17}

Step-by-step explanation:

We are given the exponential functions and we are to match them with their y-intercepts.

1. [tex]f(x)=-10^{x-1}-10$:

Substituting x = 0 to find the y-intercept:

$f(x)=-10^{0-1}-10 = -\frac{101}{10}$

y-intercept ---> $-\frac{101}{10}$

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:

$f(x)=-3^{x-2}-1=-\frac{10}{9}$

y-intercept ---> $-\frac{10}{9}$

4. $f(x)=-17^{x-1}+2$:

Substituting x = 0 to find the y-intercept:

$f(x)=-17^{x-1}+2=\frac{33}{17}$

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