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enot [183]
3 years ago
12

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

Mathematics
1 answer:
Crank3 years ago
6 0

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

<em>Verify each case</em>

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)

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