33.0k views
0 votes
Choose the function that corresponds to each graph below

Choose the function that corresponds to each graph below-example-1
User Gbero
by
7.1k points

2 Answers

1 vote
exponential function f (x) = a^x
User Szilard Barany
by
8.2k points
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
by
8.2k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories