Choose the function that corresponds to each graph below

Step-by-step 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

options a,b,c are the right answer.

step-by-step explanation:

a linear parent function is always represented as y = x

if we write this function in the form of y=mx+c

⇒

or  

now if we plot a graph we will find these characteristics:

1) y intercept of the graph is zero so its a straight line passing through origin.

2) as we can see in both the forms of function written, values of x and y may be either positive or negative for the positive slope means points on the graph are either in first quadrant or in third one.

3) it's slope is one.

1. 3.4/4

2. 0.8/7

3. 0.5 x 3

4. 0.9 x 6

5. 10.8

6. 2.35

7. 0.567

8. 9.35

9. 0.02

10. 0.06

11. 0.16

12. 0.42

13. 0.63

14. 5.6

15. 8.1

16. 9.9

17. 0.28

18. 0.48

19. 0.27

20. 0.49

21. 0.45

22. 0.72

23. 0.9

24. 0.88

25. 0.75

26. 0.16

27. 0.328

28. 0.495

29. 0.72

30. 1.068