Question

Graph each function in radians and describe the domain and range of each function.

1. f(x) = sin(x) – 5
2. f(x) = 2cos(x)
3. f(x) = cos(x - 45°)
4. f(x) = tan(x) – 3
5. f(x) = - 3sin(x)

Answer 1

do you know what a graph of sin(x) looks like?

Answer 2

nope

Answer 3

1. The domain is all the values of x that define f(x) (or do not make f(x) undefined).
Thus, the domain is all real values.

Since we know,
-1 <= sin(x) <= 1,
-6 <= [sin(x)-5] <= -4
Thus the range of f(x) is [-6, -4]. :)

Answer 4

similarly,
2. Domain: There are no values of x for which f(x) is not defined so (-infinity,infinity).
Range : The cosine function travels between [-1,1] so multiplying by the constant, [-2,2] is the range.

Answer 5

similarly try for rest of them
@neelamali20

Answer 6

What about the graph? How do I graph this in radians? That is what I am confused about.