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29.01.2020 •
Mathematics
Consider the given function.
which graph represents the given function?
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Ответ:
C
Step-by-step explanation:
First take a look at the value of
if
:
From the definition of the function we can see that that value is 5.
Now take a look at the graph and eliminate graphs where
is not equal to 5 for
:
For answer A it is correct, i.e.
for ![x](/tpl/images/0480/5398/7d856.png)
For answer B, we can see that
for
so we can eliminate that answer.
For answer C it is correct, i.e.
for ![x](/tpl/images/0480/5398/7d856.png)
For answer D, we can see that
for
so we can eliminate that answer.
Now we can take a look at the function equation at
:
From the definition of the function we can see that that value is 3.
We have to check A and C:
On the graph in A we can see that
so that does not match the definition of ![f](/tpl/images/0480/5398/d8b8c.png)
On the graph C we can see that
and that does match the definition of
.
So, since we have eliminated A, B and D, the correct answer is C
(You can further check for C if it matches the function definition if you wish)
Ответ: