# SOLUTION: I really need your help in writing an exponential function whose graph passes through the points (0,-5) and (-2,-20). Then determining whether the function represents exponential g

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 Question 189524This question is from textbook Algebra 2 : I really need your help in writing an exponential function whose graph passes through the points (0,-5) and (-2,-20). Then determining whether the function represents exponential growth or decay. I would really appreciate any help!This question is from textbook Algebra 2 Found 2 solutions by scott8148, Edwin McCravy:Answer by scott8148(6628)   (Show Source): You can put this solution on YOUR website!a general form would be ___ y = m * n^x for the first point ___ -5 = m * n^0 ___ -5 = m * 1 ___ -5 = m for the second point ___ -20 = -5 * n^-2 ___ 4 = n^-2 ___ 1/4 = n^2 ___ 1/2 = n so the function is ___ y = -5 * (1/2)^x since the base for the exponent is fractional (<1), the function represents exponential decay Answer by Edwin McCravy(8909)   (Show Source): You can put this solution on YOUR website!Edwin's solution: I claim it is a growth not a decay! ``` It has to be growth because when x goes from a smaller value -2 to larger value 0, y also grows from a smaller value -20 to a larger value -5. That is a growth. We start with the basic exponential equation: Then we substitute the point (0,-5) So the exponential equation is now Now we substitute the other point (-2, -20) And simplify: Multiply both sides by Divide both sides by -20 So the equation is now The graph looks like this: which shows it's a growth. Edwin```