Question

Pre-Calc help! 10 points

Random answers will be reported!

Answer 1

Explanation:

To find out y intercept of any function, we plug in 0 for x and solve for y

For any function y=ab^x + c

The horizontal asymptote at y=c

Now we check each function

`f(x)= 7^x -4`

Plug in 0 for x to find y intercept

`f(0) = 7^0 -4 = 1 -4 = -3`

y intercept at (0,-3)

Horizontal asymptote at y=c , here c= -4

So horizontal asymptote at y = -4 and y intercept at (0,-3)

`f(x)= 3^(x+2) +4`

Plug in 0 for x to find y intercept

`f(0) = 3^(0+2)+4 = 9+4= 13`

y intercept at (0,13)

Horizontal asymptote at y=c , here c= 4

So horizontal asymptote at y = 4 and y intercept at (0,13)

`f(x)= 9^(x+1) -4`

Plug in 0 for x to find y intercept

`f(0) = 9^(0+1)-4 = 9-4= 5`

y intercept at (0,5)

Horizontal asymptote at y=c , here c=-4

So horizontal asymptote at y = -4 and y intercept at (0,5)

`f(x)= 2^x+4`

Plug in 0 for x to find y intercept

`f(0)=2^0+4=5`

y intercept at (0,5)

Horizontal asymptote at y=c , here c= 4

So horizontal asymptote at y = 4 and y intercept at (0,5)