Sine and Cosine Graphs

Front

What is the domain and range of y=sin(x)?

Back

Domain: (-∞, ∞), Range: [-1, 1]

Front

How is the period of a sine or cosine graph determined?

Back

The period is given by the formula 2π/B, where B is the coefficient of x in the function.

Front

What is the equation of the graph that has an amplitude of 2 and a frequency of 2?

Back

y = 2sin(2x)

Front

Which function represents a vertical stretch of the sine function by a factor of 3?

Back

f(x) = 3sin(x)

Front

What is the period of the function y = -3sin(x)?

Back

The period is 2π.

Front

What is the amplitude of the function y = 4cos(x)?

Back

The amplitude is 4.

Front

What is the phase shift of the function y = sin(x - π/2)?

Back

The phase shift is π/2 to the right.

Front

What is the vertical shift of the function y = cos(x) + 2?

Back

The vertical shift is 2 units up.

Front

How do you find the x-intercepts of the function y = sin(x)?

Back

Set sin(x) = 0 and solve for x.

Front

What is the maximum value of the function y = 5cos(x)?

Back

The maximum value is 5.