Question

1. Which equation represents a nonlinear function?
A) y = x + 7
B) y = 3x - 1
C) y = 3x^2 + 1
D) y = x - 1/2

Answer 1

Have you seen this formula for slope-intercept of a line?
y = mx + b

Answer 2

Of the four options, three are in this format of a line. The leftover has a foreign exponent on the x that nullifies it from linear-dom.

Answer 3

Yes I have seen the formula for the slope.

Answer 4

The key is that A, B, and D are all in the form of a linear equation y = mx + b. C, however, seems to have that x^2. That doesn't appear in the slope-intercept form, right?

Answer 5

Yes.

Answer 6

So, it does not meet the qualifications of a linear equation. That would be what you are looking for! :)

Answer 7

Lol okay.

Answer 8

In general, a linear equation only has x and y to the first power and no funny business with x and y multiplied together. No special functions, either.
Glad to help!

Answer 9

Thanks alot :)

Answer 10

2. Which is NOT true about the above table?

A) It shows a linear function.
B) The variable x increases by 1 each time.
C) The rate of change is not constant.
D) The variable y increases by a different value each time.

Answer 11

Do you notice a pattern about what happens to the y value in relation to the x?

Answer 12

y = x^2 ?

Answer 13

Very good Nin :D

Answer 14

So it is D?

Answer 15

I believe it would be A. This graph would create a parabola, not a linear one.

In terms of D, y is changing by a different value each time.

Answer 16

So A not D right because it doesn't show a linear function.

Answer 17

That's correct. A linear function would make a linear graph.

Answer 18

Lol thanks so much guys for helping me understand this!

Answer 19

Good luck :)

Answer 20

:D

Answer 21

Last question is Wrong.

Answer 22

???? then what is the correct answer

Answer 23

it would be c, right ? the rate of change is not constant