Questions from Calculus

Q: Sketch the graph of the function. y = sin(

Sketch the graph of the function. y = sin(x + π)

Q: Sketch the graph of the function. y = cos(

Sketch the graph of the function. y = cos(x – π/3)

Q: Sketch the graph of the function. y = 1 +

Sketch the graph of the function. y = 1 + cos(x – π/2)

Q: Sketch the graph of the function. y = 1 +

Sketch the graph of the function. y = 1 + sin(x + π/2)

Q: Find a, b, and c such that the graph of

Find a, b, and c such that the graph of the function matches the graph in the figure. y = a cos(bx − c)

Q: Find a, b, and c such that the graph of

Find a, b, and c such that the graph of the function matches the graph in the figure. y = a sin(bx − c)

Q: Find any intercepts. y = 2x – 5

Find any intercepts. y = 2x – 5

Q: Sketch a graph of the function and find its domain and range

Sketch a graph of the function and find its domain and range. Use a graphing utility to verify your graph. g(x) = 1 / x2 + 2

Q: You are given the value of tan θ. Is it possible

You are given the value of tan θ. Is it possible to find the value of sec θ without finding the measure of θ? Explain.

Q: Explain how to restrict the domain of the sine function so that

Explain how to restrict the domain of the sine function so that it becomes a one-to-one function.