Question

HELP PLEASE! Thank you!

Answer 1

1. First choice

2. Image C

3. Fourth chioice

4. Third choice

5. First choice.

Explanation:

First Screenshot

Solve the equation.

`{x}^(2) - 9 = 0`

Use the difference of two squares formula.

`{x}^(2) - {y}^(2) = (x + y)(x - y)`

`(x + 3)(x - 3) = 0 \\ x = 3, - 3`

Second Screenshot

A linear relationship already says it all. Find the graph that is NOT a curve. The only image that is not a curve and the graph straight forwards is the Image C aka A choice.

Third Screenshot

A nonlinear function is a function that does not have a straight line graph. All linear functions are linear, except for Quadratic and up. Every polynomial function with the degree greater than one wont be a linear.

Fourth Screenshot

`y = x + 3`

If we change the constant from 3 to 5 then we would get

`y = x + 5`

The graph would shift up 2 units.

Last Screenshot

The second and third graph both are function. We can tell by doing a line test. Simply draw a vertical line first. Then we check if the line intercepts the graph more than a point or not.

If the line intercepts more than a point then it is not a function.

If the line intercepts only a point then it is a function.