S2 FINAL REVIEW

Front

What is the equation for exponential growth when a population starts at 4 square kilometers and grows by a factor of 1.67?

Back

y = 4(1.67)^x

Front

What does the inequality represent in a graph?

Back

An inequality shows a range of values that satisfy a condition, often represented by a shaded area on a graph.

Front

What is the explicit equation for a linear function with a slope of -2 and a y-intercept of 5?

Back

t(n) = -2n + 5

Front

How do you solve the equation (x-3)^2 - 5 = 4?

Back

First, isolate the square: (x-3)^2 = 9. Then take the square root: x-3 = ±3, leading to x = 6 or x = 0.

Front

What are the first four terms of the sequence defined by t(n) = 2n + 5?

Back

7, 9, 11, 13

Front

Define exponential growth in the context of population dynamics.

Back

Exponential growth occurs when the growth rate of a population is proportional to its current size, leading to rapid increases.

Front

What is the general form of a linear equation?

Back

The general form is y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you find the slope of a line given two points (x1, y1) and (x2, y2)?

Back

The slope m is calculated as m = (y2 - y1) / (x2 - x1).

Front

What is the difference between explicit and recursive formulas for sequences?

Back

An explicit formula defines the nth term directly, while a recursive formula defines each term based on previous terms.

Front

What does it mean for a function to be linear?

Back

A linear function has a constant rate of change and can be represented by a straight line on a graph.