Graphing Sine and Cosine

What is the maximum of f(x) = sin(x)?

1

The graph of which function passes through (0,4) and has a minimum value at (3pi/2, 3)?

f(x) = sine(x) + 4

What is the range of y = -5sin(x)?

all real numbers -5 < or = y < or = 5

Which function is graphed below?

f(x) = cos(x) OR f(x) = sin(x)

Which function has the given properties below?

The domain is the set of all real numbers.
One x-intercept is (2pi, 0.)
The point (pi/2, -4) is on the graph.
The y-intercept is (0, 0).

y = -4sin(x)

Which function describes the graph shown below?

y=1/2 sine (x) – 2

What is the period of f(x) = sin(x)?

2pi

Which function describes the graph below?

y= 4 cosine (x) + 3

Which of the following is true for f(x) = 5cos(x) +1?

The range of the function is the set of real numbers -4 < or = y < or = 6.

What is the domain of f(x) = cos(x)?

the set of all real numbers

Which formula gives the x-coordinates of the maximum values for y = cos(x)?

kpi for k= 0, 2, 4,…

What is the amplitude of the function below?

2

What is the range of f(x) = sin(x)?

the set of all real numbers -1 < or = y < or = 1

Which set of transformations is needed to graph f(x) = -2sin(x) + 3 from the parent sine function?

reflection across the x-axis, vertical stretching by a factor of 2, vertical translation 3 units up