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Choose the function that corresponds to each graph below

Choose the function that corresponds to each graph below-example-1
User Gbero
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2 Answers

1 vote
exponential function f (x) = a^x
User Szilard Barany
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7 votes

Answer:

Explanation:

Given is a graph

On observing the graph we find the following

The graph is increasing throughout its domain

Domain is the set of all real numbers.

Range is only (2,infty)

y is not defined for y <=2

Passes through (2,5)

No x intercept

y intercept is at one point between 2 and 3.

The graph looks like transformation of an exponential graph.

y = a^x+2 makes range and shape somewhat same.

When x=0, y=3 thus making y intercept also match.

Since passes through (2,5) we have

5 = a^2+2

Or a = sq rt 3

So graph is

y = 3^(x/2)+2

User Dunja Lalic
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6.3k points