Algebra Fall Semester Exam Review Day 2 Cleary

Front

What is the range of a graph?

Back

The range of a graph is the set of all possible y-values (outputs) that the function can produce. For example, if the range is given as 1 ≤ y ≤ 5, it means y can take any value from 1 to 5, inclusive.

Front

How do you write the equation of a line parallel to y = 2x + 3?

Back

To write the equation of a line parallel to y = 2x + 3, keep the same slope (2) and use the point-slope form. For example, if it passes through (3, 1), the equation is y - 1 = 2(x - 3), which simplifies to y = 2x - 5.

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form of a linear equation is given by 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?

Back

The slope (m) of a line given two points (x1, y1) and (x2, y2) is calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

What does it mean for two lines to be perpendicular?

Back

Two lines are perpendicular if the product of their slopes is -1. This means if one line has a slope of m, the other line's slope will be -1/m.

Front

What is the domain of a function?

Back

The domain of a function is the set of all possible x-values (inputs) that can be used in the function. For example, if the domain is -4 ≤ x < 5, it means x can take any value from -4 to 5, including -4 but not including 5.

Front

What is the difference between an open circle and a closed circle on a graph?

Back

An open circle indicates that the value is not included in the domain or range (use < or >), while a closed circle indicates that the value is included (use ≤ or ≥).

Front

How do you write the equation of a line that is perpendicular to y = (1/2)x - 9?

Back

To write the equation of a line that is perpendicular to y = (1/2)x - 9, first find the negative reciprocal of the slope (1/2), which is -2. Then use the point-slope form with the given point to find the equation.

Front

What is slope in the context of a linear equation?

Back

Slope is a measure of the steepness of a line, represented by 'm' in the slope-intercept form. It indicates how much y changes for a unit change in x.

Front

How do you determine the y-intercept of a linear equation?

Back

The y-intercept of a linear equation in slope-intercept form (y = mx + b) is the value of y when x = 0. It is represented by 'b'.