SOLUTION: can you please help me understand these graphs please? <a rel=nofollow HREF="https://ibb.co/Mhtffy3"><img src="https://i.ibb.co/Mhtffy3/Screenshot-18-2-2024-154517-d2l-lonest

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Question 1206144:
can you please help me understand these graphs please?
Screenshot-18-2-2024-154517-d2l-lonestar-edu Screenshot-18-2-2024-154434
Screenshot-18-2-2024-154455

Found 3 solutions by ikleyn, MathLover1, josgarithmetic:
Answer by ikleyn(52775) About Me  (Show Source):
You can put this solution on YOUR website!
.

First, I do not see these graphs - they are not shown properly.


Second, I do not understand your question in full.



Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
see what are domain and range:
CNX-Precalc-Figure-01-02-006


first graph:
line goes from the point (1,3+)to infinity on left side, but on right side goes to the point (2,4)
bot points are included
so, domain will be all x from -infinity+to 2
interval notation:
(-infinity,2]
range
The range is the set of outputs (values of y) for which a function is defined.
the graph continues from
(3,infinity] U [3,4]
second graph

domain: (-infinity,infinity)
range: [3,infinity)
third graph
y=a%2Aabs%28x-h%29+
graph is shifted 3 units to the right, so h=3
y=a%2Aabs%28x-3%29+


use point: (2,3)
3=a%2Aabs%282-3%29
a=3
your equation is:
y=3abs%28x-3%29
+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+3abs%28x-3%29%29+


Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
Helping only on the first graph.
"V" shaped, minumum point at (1,3) and terminating at point (2,4).

DOMAIN: Real Numbers less than or equal to 2.
RANGE: The Real Numbers greater than or equal to 3.

You decide how to put those into interval notation; you decide if for answers
you need more refinement.