Second 6-Weeks Test Review

Front

What is a horizontal asymptote?

Back

A horizontal asymptote is a horizontal line that the graph of a function approaches as the input (x) approaches positive or negative infinity. It indicates the behavior of the function at extreme values.

Front

How do you determine the horizontal asymptote of a rational function?

Back

The horizontal asymptote of a rational function can be determined by comparing the degrees of the numerator and denominator. If the degree of the numerator is less than the degree of the denominator, the asymptote is y=0. If they are equal, the asymptote is y equal to the ratio of the leading coefficients.

Front

What is the x-intercept of a function?

Back

The x-intercept of a function is the point where the graph of the function crosses the x-axis, which occurs when the output (y) is zero.

Front

How do you find the x-intercept of a logarithmic function?

Back

To find the x-intercept of a logarithmic function, set the function equal to zero and solve for x.

Front

What are the properties of logarithms?

Back

Front

What is the amplitude of a sine function?

Back

The amplitude of a sine function is the maximum distance from the midline of the graph to its peak or trough. It is given by the absolute value of the coefficient in front of the sine function.

Front

How do you write the equation of a cosine function?

Back

Front

What is the period of a trigonometric function?

Back

Front

What is a phase shift in trigonometric functions?

Back

Front

What is a vertical shift in trigonometric functions?

Back