Ashley is packing her bags for her vacation. She has 7 unique socks, but only 3 fit in her bag.
1 answer:
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Answer:
.
In other words, the in
could be any real number as long as
for all integer
(including negative integers.)
Step-by-step explanation:
The tangent function has a real value for real inputs
as long as the input
for all integer
.
Hence, the domain of the original tangent function is .
On the other hand, in the function , the input to the tangent function is replaced with
.
The transformed tangent function would have a real value as long as its input
ensures that
for all integer
.
In other words, would have a real value as long as
.
Accordingly, the domain of would be
.
Answer:
A, B, and D
Step-by-step explanation:
Only the functions that have x by itself between the absolute value signs (A, B, and D) are symmetric with respect to the y-axis .
Placing a constant outside the absolute value signs moves the function up or down the y-axis but retains the symmetry.
Adding a constant inside the absolute value signs (as in C and E) moves the axis of symmetry to the left or right of the y-axis.
In the diagram, both A and B are symmetric with respect to the y-axis, but C has been shifted three units to the left.
