Question

Create a table of data for two different linear functions. The table should use the same values of x for both functions. Based on your table, will the graphs of these two functions intersect? Explain your answer.

Answer 1

I think it just wants you to make up your own table that justs uses the same values of x for both function, and than show and explain if the two functions intersect and why. But im pretty sure you can make it up yourself, i haven't done this yet so sorry if im wrong, but that's what it is saying here.

Answer 2

The required table is shown below:

Explanation:

Consider the provided information.

We need to Create a table of data for two different linear functions. The table should use the same values of x for both functions.

Take two linear function.

`y=2x+3` and
`y=3x+1`

Now substitute the values of x in both the function and solve them.

x y=2x+3 y=3x+1

-1 y=-2+3=1 y=-3+1=-2

0 y=0+3=3 y=0+1=1

1 y=2+3=5 y=3+1=4

2 y=4+3=7 y=6+1=7

Now the value of both the function is same i.e 7 when x = 2

Hence, the both function intersect at (2,7)