Question

Need help with 8 questions please

Answer 1

Which equation represents a nonlinear function?

Answer 2

answers

Answer 3

remember:

a line is represented by: y = mx + b
where m is the slope and b is the y-intercept.

Answer 4

so the answer would be B

Answer 5

\[y = 3x^2 + 1 \]
this one is ^2 so it would be a parabola not a line.

Answer 6

hence: nonlinear.

Answer 7

C

Answer 8

yep the third one.

Answer 9

question

Answer 10

answers

Answer 11

so d

Answer 12

In general, a linear function is a function defined by an equation of the form
f(x) = y= mx+b
and the graph of a linear equation is a straight line. In the above equation, "m" is called the slope of the line and "b" is called the intercept on y-axis.

Answer 13

TRUE:
--x increases by 1 each time.
--y increases by a different value each time.
-- the rate of change is not constant

FALSE: It shows a linear function.

Answer 14

@some_someone sorry to disagree but a linear function has the form y=mx. The form y=mx+b is a line but is not linear. Linear functions y=f(x) fulfill:
\[f(m·x_1+n·x_2)=mf(x_1)+nf(x_2)\]
According to this defintion, none of the functions showed is a linear function. A function y=mx+b is called "affine function" and is non-linear

Answer 15

Hmmm. okaii so based on your thoughts, what is the answer? hmmmm?

Answer 16

they are not my thoughts, they are formal definitions. None is linear. The problem seems to be aiming at the quadratic function (C). If this is the case I would dare say there is a conceptual error in the teacher who has defined the exercise, when considering y=mx+b is linear. Simply double the x and see if the y doubles too and it does not

Answer 17

If they are asking whether it is a line or not, that is a horse of a different color. But being a line does not mean is linear.