Flashcard #8 Tangent Graphs

Front

What is the range of the tangent function?

Back

(-∞, +∞)

Front

What is the equation of the tangent function with a horizontal stretch of 2?

Back

y=\tan\left(\frac{1}{2}x\right)

Front

What is the period of the function y=4tan5x?

Back

Front

If the period of y = 3tan(bx) + 1 is 2π, what is the value of b?

Back

Front

What is the period of the function y=4tan(\frac{1}{4}x)-2?

Back

4π

Front

Define the period of a tangent function.

Back

The period is the distance along the x-axis over which the function repeats itself.

Front

What is the general form of the tangent function?

Back

y = a \tan(bx - c) + d, where a is the vertical stretch, b affects the period, c is the horizontal shift, and d is the vertical shift.

Front

How does the value of 'b' affect the period of the tangent function?

Back

Front

What is the effect of changing 'a' in the tangent function y = a tan(bx)?

Back

Changing 'a' affects the vertical stretch or compression of the graph.

Front

What is the vertical asymptote of the tangent function?

Back