Question

Which function rule produces the following graph?

Answer 1

Answer:

Option: A and C are correct.

Step-by-step explanation:

Clearly from the graph of the function we could see that:

The domain of the function is the set of all the real numbers as the graph is a line taking values at all the real numbers.

Hence option: A

Domain = {-8,-3,1,4} is correct.

Similarly Option:C

Domain= {-9,-5,2,6} is correct.

Now let us consider any two point in the graph so that we could find the equation of the line and check whether the equation holds?

We are given two points in the graph as:

(0,5) and (2,8).

The equation of line passing through two points (a,b) and (c,d) is given by:

$y-b=\dfrac{d-b}{c-a}\times (x-a)$

Here (a,b)=(0,5) and (c,d)=(2,8)

Hence, equation of line is given by:

$y-5=\dfrac{8-5}{2-0}\times (x-0)\\\\y-5=\dfrac{3}{2}\times x\\\\y=\dfrac{3}{2}x+5$

Hence option: B and option D are incorrect.