Tangent Graph

Front

What is the vertical shift of the tangent function represented by the equation y = tan(x) + 1?

Back

The vertical shift is 1.

Front

What is the amplitude of the tangent function?

Back

The amplitude is undefined.

Front

What function is represented by the graph that has vertical asymptotes and repeats every π radians?

Back

The function is tangent.

Front

What is the general form of the tangent function?

Back

The general form is y = a * tan(b(x - 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 parameter 'a' affect the tangent function?

Back

The parameter 'a' affects the vertical stretch or compression but does not affect the amplitude, which is undefined.

Front

What is the period of the tangent function?

Back

The period of the tangent function is π.

Front

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

Back

The parameter 'b' affects the period of the function, which is given by π/|b|.

Front

What is the vertical asymptote of the tangent function?

Back

The vertical asymptotes occur at x = (π/2) + nπ, where n is any integer.

Front

What is the range of the tangent function?

Back

The range of the tangent function is all real numbers, (-∞, ∞).

Front

What is the horizontal shift of the function y = tan(x - π)?

Back

The horizontal shift is π to the right.