Day 3 Final Review: Linear Equations & Inequalities, Functions

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the ratio of the rise (change in y) to the run (change in x) between two points on the line.

Front

How do you calculate the slope from a graph?

Back

Count the rise and run between two points on the line and calculate the ratio of rise to run.

Front

What does the notation f(x) represent in functions?

Back

f(x) represents the output of the function f for a given input x.

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions, showing that one is less than, greater than, less than or equal to, or greater than or equal to the other.

Front

How do you represent a situation with an inequality?

Back

You can represent a situation with an inequality by identifying the maximum or minimum values and the relationships between the quantities involved.

Front

What does h(4) = 5 mean in the context of a function?

Back

It means that after 4 weeks, the height of the plant is 5 inches.

Front

How do you evaluate a function at a specific point?

Back

To evaluate a function at a specific point, substitute the value of x into the function and simplify.

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 as (0, b) in the equation y = mx + b.

Front

What is the x-intercept of a linear equation?

Back

The x-intercept is the point where the line crosses the x-axis, represented as (a, 0) in the equation y = mx + b.

Front

What is the difference between a function and a relation?

Back

A function is a specific type of relation where each input has exactly one output.