SOLUTION: Which is not true about the graph of f(x) = |2x - 1|? A: Domain: all real numbers. B: Range: all real numbers. C: It includes the point (-2, 5). D: The graph is "V-shaped."

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Which is not true about the graph of f(x) = |2x - 1|? A: Domain: all real numbers. B: Range: all real numbers. C: It includes the point (-2, 5). D: The graph is "V-shaped."      Log On


   

Question 968985: Which is not true about the graph of f(x) = |2x - 1|?
A: Domain: all real numbers.
B: Range: all real numbers.
C: It includes the point (-2, 5).
D: The graph is "V-shaped."
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Examine what happens around and at the critical value for x.

Change in sign occurs around 2x-1=0. This means for x at
2x=1
x=1%2F2

You must understand that x is still allowed to take the value 1%2F2; but that the sign changes for 2x-1 before and after x=1%2F2. Also, do not confuse f(x) with 2x-1.


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Stronger than just "assume". You could and should be able to support your choice, and actually, ...... YES.

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

Which is not true about the graph of f(x) = |2x - 1|?
A: Domain: all real numbers.
B: Range: all real numbers.
C: It includes the point (-2, 5).
D: The graph is "V-shaped."
Absolute-value graphs are v-shaped, and so domain are all REALS

Substituting (- 2, 5) into the equation will make it TRUE

Therefore, it's obvious that highlight_green%28CHOICE_B%29 is FALSE.