Semester 1 Review PreAP - Part 1

Front

Identify intervals on which the function is increasing, decreasing, or constant: f(x) = |x + 2| + |x - 6|

Back

Increasing on (6, ∞); decreasing on (-∞, -2); constant on (−2, 6)

Front

Find the sum of \( \sum_{n=1}^{44}(0.6n - 0.9) \)

Back

554.4

Front

Solve for x: 7^x - 13 = 2222

Back

x = 3.963

Front

Find the vertical asymptote(s) of: f(x) = \( \frac{x+4}{x^2+5x} \)

Back

x = -5 , x = 0

Front

Find the zero(s) of f(x) = \( \log_b(5x^2 - 179) \)

Back

x = -6; x = 6

Front

Definition of a vertical asymptote

Back

A vertical asymptote is a line x = a where a function approaches infinity or negative infinity as x approaches a.

Front

Definition of increasing function

Back

A function f(x) is increasing on an interval if for any two points x1 and x2 in the interval, if x1 < x2 then f(x1) < f(x2).

Front

Definition of decreasing function

Back

A function f(x) is decreasing on an interval if for any two points x1 and x2 in the interval, if x1 < x2 then f(x1) > f(x2).

Front

Definition of constant function

Back

A function f(x) is constant on an interval if for any two points x1 and x2 in the interval, f(x1) = f(x2).

Front

How to find the sum of an arithmetic series

Back

The sum S of the first n terms of an arithmetic series can be calculated using the formula S = n/2 * (first term + last term).