Precalc. BC Semester Final Part 1

Front

Define decreasing interval in a function.

Back

A decreasing interval is a range of x-values over which the function's output (y-values) decreases as x increases.

Front

What is a horizontal asymptote?

Back

A horizontal asymptote is a horizontal line that the graph of a function approaches as x approaches infinity or negative infinity.

Front

Write the explicit rule for the sequence: 125, 25, 5, ...

Back

Front

What does the limit describe in the context of end behavior?

Back

Limits describe the behavior of a function as the input approaches infinity or negative infinity.

Front

Identify the decreasing interval for the function f(x) if the answer is (-∞, -1) U (1, ∞).

Back

The function is decreasing in the intervals (-∞, -1) and (1, ∞).

Front

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

Back

To find the horizontal asymptote, compare the degrees of the numerator and denominator. If they are equal, divide the leading coefficients.

Front

What is the end behavior of the function g(x) = 2^{(x-2)} + 3?

Back

Front

When is a function f(x) < 0?

Back

A function f(x) is less than zero in the intervals where its graph lies below the x-axis.

Front

What is the significance of the leading coefficient in a polynomial function?

Back

The leading coefficient determines the end behavior of the polynomial function as x approaches infinity or negative infinity.

Front

Define the term 'asymptote'.

Back

An asymptote is a line that a graph approaches but never touches or crosses.