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Which is NOT a Characteristic of the linear parent function

Which is NOT a Characteristic of the linear parent function-example-1

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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.

User Wrapperapps
by
8.3k points
5 votes

B-The reange is posotive real numbers

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