4.4 Graphs of Secant and Cosecant

Front

What is the equation of the secant function when vertically stretched by a factor of 3 and horizontally compressed by a factor of 2?

Back

y = 3sec(2x)

Front

What is the range of the cotangent function, y = cot(x)?

Back

(-∞, ∞)

Front

Determine the equation of the cosecant function that has been vertically shifted up by 1 unit.

Back

y = csc(x) + 1

Front

Which parent functions include the point (0, 1)?

Back

Cosine and secant.

Front

Identify the function represented by the graph that has vertical asymptotes at x = nπ (n is an integer).

Back

y = cot(x)

Front

What is the period of the secant function, y = sec(x)?

Back

2π

Front

What is the vertical asymptote of the cosecant function, y = csc(x)?

Back

x = nπ (n is an integer).

Front

What is the relationship between the sine and cosecant functions?

Back

csc(x) = 1/sin(x) for sin(x) ≠ 0.

Front

What is the amplitude of the secant function, y = sec(x)?

Back

The secant function does not have an amplitude.

Front

What is the domain of the cosecant function, y = csc(x)?

Back

x ≠ nπ (n is an integer).