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
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)
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.