the rational function has a y-intercept of 7. what is the equation for this function

Answer 1

file:///C:/Users/lanib/Downloads/680584-4192012-101320-AM-853948007.png

Answer 2

If all we know is the point (0,7) then it must be of the form

y = a(x-7) * ...

where ... is some fraction involving x-stuff.

I cannot access files on your C: drive ...

Answer 3

the vertical asymptote is at -2 and the horizontal asymptote is at 5

Answer 4

so, y = 5(x-7)/(x+2)

Answer 5

thank you so much!

Answer 6

could u show me how u got it step by step though

Answer 7

the vertical asymptote means you have (x+2) in the bottom
the zero means you have (x-7) in the top
The top and bottom have equal degree, so the y-asymptote is the ratio of the coefficients of the highest power of x. The fraction (x-7)/(x+2) has a horizontal asymptote at y=1. So, multiply by 5.

Answer 8

ok,thank you so much

Answer 9

I can give you an answer for them, but they may not be correct.
1. y = (5x+14)/(x+2) You can graph this in mathway if you're not sure

2. It's a direct variation and the function is y = 3x. You can still check with mathway

3. It's shifted to the left by 6 units, and is stretched by 5 units (Not really sure about this one tbh)

4. 500 = C (n + 5)
500 = 20 (n + 5)
20 (n + 5) = 500
20n + 100 = 500
20n = 400
n = 20

Answer 10

Y=5
X=-2
K=5
Y=a/(x+2) +5
Since x is -2 it will be (x+2)
Now we need to find the A value
The y Intercept is at (0,7)
Substitute 0 and 7 for x and y
7= a/(0+2) +5
-5 both sides
2=a/0+2
0+2 is 2
2=a/2
Multiply both sides by 2
2 × 2 is 4
A= 4
The equation is
Y=4/(x+2) +5

Answer 11

formula i used
y=a/(x-h) +k
vertical asymp x=-2 and/or h=-2
horizontal asymp y=5 and/or k=5

y=a/x-(-2) +5
plug in the (0,7) to find a
7=a/0+2 +5
subtract 5
2= a/2 multiply 2 to cancel out the division
a=4
plug everything in
y= 4/x+2 +5
check desmos

Answer 12

Moony is 100% right great explanation 😘