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10 votes
What function represents this graph

What function represents this graph-example-1
User Andih
by
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1 Answer

12 votes
12 votes

Answer:

f(x) = 10^x -4

Explanation:

The horizontal asymptote of this exponential function is at y=-4, so there is a vertical translation of -4 added to the function. That is, the function is expected to be of the form ...

y = a·b^x -4

The graph crosses 1 unit above the horizontal asymptote at x=0, so there is no horizontal translation. Effectively, a=1 in the above equation.

The graph crosses 10 units above the horizontal asymptote at x=1, so the base of the exponent is b = 10.

The function appears to be ...

f(x) = 10^x -4

User Yan Yankelevich
by
3.3k points