SOLUTION: Q: What is true about the graph of function f defined by f(x) = 4 + | | x | - 3 | (I) Symmetric with respect to y-axis (II) Has no x intercepts (III) Has a y intercept a

Algebra ->  Test -> SOLUTION: Q: What is true about the graph of function f defined by f(x) = 4 + | | x | - 3 | (I) Symmetric with respect to y-axis (II) Has no x intercepts (III) Has a y intercept a      Log On


   

Question 1041212: Q: What is true about the graph of function f defined by
f(x) = 4 + | | x | - 3 |

(I) Symmetric with respect to y-axis
(II) Has no x intercepts
(III) Has a y intercept at (0 , 7)
A) (I) and (II) only
B) (I) and (III) only
C) (I), (II) and (III)
D) None
E) (II) and (III) only
Explain too!!
Found 2 solutions by ikleyn, stanbon:
Answer by ikleyn(52780) About Me  (Show Source):
You can put this solution on YOUR website!
.



Figure. Plot y = 4 + |(|x|-3)|


Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
What is true about the graph of function f defined by
f(x) = 4 + | | x | - 3 |
Graph:
graph%28400%2C400%2C-10%2C10%2C-10%2C10%2C4%2Babs%28abs%28x%29-3%29%29
----------------------------
(I) Symmetric with respect to y-axis :: true
(II) Has no x intercepts : true
(III) Has a y intercept at (0 , 7):: true
A) (I) and (II) only
B) (I) and (III) only
C) (I), (II) and (III):: true
D) None
E) (II) and (III) only
-----
Cheers,
Stan H.
----------