What is the yintercept and horizontal asymptote for each y

What is the y-intercept and horizontal asymptote for each? y = 10(.5)^x y-int: y = 3^x + 4 y-int: horizontal asymptote: horizontal asymptote:

Solution

9)

y=10(0.5)^x

for y intercept , x=0

y=10(0.5)⁰

y=10*1

y=10

y intercept is 10

horizontal asymptote :

y=lim_x->10(0.5)^x

y=10*0

y=0 is horizontal asymptote

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10)

y=3^x+4

for y intercept , x=0

y=3⁰+4

y=1+4

y=5

y intercept is 5

horizontal asymptote :

y=lim_x->-3^x+4

y=0+4

y=4 is horizontal asymptote