Algebra 2 Review

Front

What is the range of the function defined by the inequality y ≥ -4?

Back

The range of the function is all values of y that are greater than or equal to -4.

Front

Express the following in Interval Notation: { x | -8 ≤ x < 8 }

Back

[-8, 8) is the interval notation for this set.

Front

Express the following in Interval Notation: { x | -9 < x ≤ -4 }

Back

(-9, -4] is the interval notation for this set.

Front

Solve for y in the equation 8x + 4y = 16.

Back

y = -2x + 4.

Front

Which category does the number π belong to?

Back

π is an Irrational number.

Front

What is the definition of a rational number?

Back

A rational number is any number that can be expressed as the quotient or fraction of two integers.

Front

What is the definition of an irrational number?

Back

An irrational number cannot be expressed as a simple fraction; its decimal representation goes on forever without repeating.

Front

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

Back

The slope-intercept form 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 (x1, y1) and (x2, y2)?

Back

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

Front

What does it mean for a function to be increasing?

Back

A function is increasing if, as x increases, the value of f(x) also increases.