SOLUTION: Write an exponential function for a graph that includes the given points. (0, 0.5), (1, 3) (–1, 5), (0.5, 40)

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: Write an exponential function for a graph that includes the given points. (0, 0.5), (1, 3) (–1, 5), (0.5, 40)       Log On


   

Question 183354: Write an exponential function for a graph that includes the given points.

(0, 0.5), (1, 3)


(–1, 5), (0.5, 40)

Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
Y=mX+b m=slope & b= y intercept.
(0, 0.5), (1, 3)
slope=(y2-y1)/(x2-x1)
slope=(3-.5)/(1-0)
slope=2.5/1=2.5
.5=2.5*0+b
.5=b
Y=2.5X+.5 (red line) is the line equation through these 2 points.
--------------------------------------
(–1, 5), (0.5, 40)
slope=(40-5)/(.5+1)
slope=(35/1.5
slope=7/.3
5=7/.3*-1+b
5=-7/.3+b
5+7/.3=b
b=(5*.3+7)/.3
b=(1.5+7)/.3
b=8.5/.3
Y=7X/.3+8.5/.3 (green line)
+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+2.5x+%2B.5%2C+7x%2F.3+%2B8.5%2F.3%29+ (graph 300x200 from -6 to 5, y from -10 to 10, of TWO functions 2.5x +.5 and 7x/.3 +8.5/.3 ).