Answer: Choice A
Note: the range should be
. See explanation below.
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We can plug in any real number for x to get some output for y. The domain is the set of all real numbers in which we say
which is interval notation. It represents the interval from negative infinity to positive infinity.
The range is the set of possible outputs. The smallest output possible is y = -5 which occurs at the vertex (3,-5). We can get this y value or larger. So we can describe the range as the set of y values such that
and that translates to the interval notation
.
The square bracket says "include this endpoint" while the curved parenthesis says to exclude the endpoint. Your teacher mistakenly wrote
for choice A, when they should have written 
I think either your teacher made a typo or somehow the formatting messed up. Either way, choice A is the closest to the answer.
Answer:
The correct options are:
- g(x) is shifted three units higher than f(x).
- g(x) has a period that is half the period of f(x).
Step-by-step explanation:
We have to compare the graphs of the function:

and 
We have to select the correct options among the following:
As we know that the period of sine function is 2π.
i.e. Period of function f(x) is: 2π.
The period of sin(2 x) is π.
Hence, the period of the function g(x) function is π.
- Hence, the period of g(x) is half the period of f(x).
- Also we could observe that g(x) is shifted 3 units upward.
Answer:
2x is your slope and -8 is your y intercept
Step-by-step explanation:
To solve this, you need to know the formula to find the circumference of the circle. It is: C=2(pie)r.
C is what you are finding.
Pie is 3.14(you already got that).
R is the radius.
There is not enough information to solve your problem, but I hoped the equation helped!