Which is not a characteristic of the absolute value parent function
a. it is v-shaped
b. the range is all real numbers
c. it goes through the origin
d. the domain is all real numbers

The answer is the option B

the range is all real numbers

Step-by-step explanation:

we know that

the absolute value parent function is equal to

see the attached figure to better understand the problem

so

A. it is v-shaped ------> Is true

B. the range is all real numbers ------> Is not true

Because the range is the interval------> [0,∞)

All real numbers greater than or equal to zero

C. it goes through the origin -----> is true

D. the domain is all real numbers -----> is true

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions