Question

Which is NOT a Characteristic of the linear parent function

Answer 1

I'm assuming that the "linear parent function" is $y = x$. If so:

A. is true.

In fact, the slope of a line written in the form $y = mx+q$ is $m$, and the line $y = x$ is given by $m=1,\ q=0$

C. is true.

Since the origin is the point $(0,0)$, if we compute the function at $x = 0$, we want $y = 0$. This is quite trivial since $y = x$

D. is true.

The domain is affected by denominators (they can be zero), even roots (they don't accept negative inputs) and logarithms (they don't accept non-positive inputs). Since this function has none of these three, the domain is all real numbers.

B. is FALSE.

The range of a function is the set of numbers obtained as output, for all possible inputs. Since, in this case, the input and the output are the same thing, if you give a negative input, you will receive the same negative output. So, the range doesn't consist only of positive numbers.

Answer 2

B-The reange is posotive real numbers