Question

Pre-Calc help! 10 points

Random answers will be reported!

Answer 1

Step-by-step 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)