Final Exam Part 1 (1 - 3)

Front

What is acceleration?

Back

Acceleration is the rate of change of velocity of an object. It can be positive (speeding up) or negative (slowing down).

Front

What does it mean for a graph to represent a function?

Back

A graph represents a function if every input (x-value) has exactly one output (y-value).

Front

How do you determine if a set of ordered pairs is a function?

Back

A set of ordered pairs is a function if no two pairs have the same first element (x-value).

Front

What is the formula for compound interest?

Back

A = P(1 + r/n)^(nt), where A is the amount of money accumulated after n years, P is the principal amount, r is the annual interest rate, n is the number of times interest is compounded per year, and t is the number of years.

Front

What is the significance of the slope in a linear equation?

Back

The slope indicates the steepness of the line and the direction of the relationship between the variables. A positive slope means the line rises, while a negative slope means it falls.

Front

What is a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed. It can be written in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What does it mean for a graph to be a function?

Back

A graph is a function if it passes the vertical line test, meaning no vertical line intersects the graph at more than one point.

Front

What is the y-intercept of a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of y when x = 0.

Front

How do you find the solution to a linear equation?

Back

To find the solution to a linear equation, isolate the variable on one side of the equation using algebraic operations.

Front

What is the difference between linear and non-linear functions?

Back

Linear functions create straight lines when graphed, while non-linear functions create curves.