Find a possible equation for the functions below a Use the g
Find a possible equation for the functions below.
a) Use the general exponential formula
points (-2,0.48) and (2,18.75)
b)The vertical asymptote is x=-3 and the horizontal asymptote is y=1
Solution
a) general exponential equation is y=abx , contains (-2,0.48) and (2,18.75)
0.48 =ab-2
18.75 =ab2
18.75*0.48 =ab2ab-2
18.75*0.48 =a2
a=3
y=3bx contains (-2,0.48)
0.48 =3b-2
0.16 =b-2
b=2.5
equation is y=3(2.5)x
b)vertical asymptote is x=-3 => denominator conatins x+3
horizontal asymptote is y=1
numerator canbe any first degree polynomial with coefficient 1 except x+3
for example y =(x+4)/(x+3)
