Question

Select all functions that have a y-intercept of (0,5).

Answer 1

Answer:

$f(x)=7(b)^{x}-2$

$f(x)=-5(b)^{x}+10$

Step-by-step explanation:

we know that

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

Verify each case

case 1) we have

$f(x)=7(b)^{x}-2$

so

For x=0

$f(0)=7(b)^{0}-2$

$f(0)=7(1)-2=5$

therefore

The function has a y-intercept of (0,5)

case 2) we have

$f(x)=3(b)^{x}-5$

so

For x=0

$f(0)=3(b)^{0}-5$

$f(0)=3(1)-5=-2$

therefore

The function does not have a y-intercept of (0,5)

case 3) we have

$f(x)=5(b)^{x}-1$

so

For x=0

$f(0)=5(b)^{0}-1$

$f(0)=5(1)-1=4$

therefore

The function does not have a y-intercept of (0,5)

case 4) we have

$f(x)=-5(b)^{x}+10$

so

For x=0

$f(0)=-5(b)^{0}+10$

$f(0)=-5(1)+10=5$

therefore

The function has a y-intercept of (0,5)

case 5) we have

$f(x)=2(b)^{x}+5$

so

For x=0

$f(0)=2(b)^{0}+5$

$f(0)=2(1)+5=7$

therefore

The function does not have a y-intercept of (0,5)