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

Algebra ->  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

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 Algebra: Exponent and logarithm as functions of power Solvers Lessons Answers archive Quiz In Depth

 Click here to see ALL problems on Exponential-and-logarithmic-functions 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(12569)   (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 300x200 from -6 to 5, y from -10 to 10, of TWO functions 2.5x +.5 and 7x/.3 +8.5/.3 ).