Unit 1-3 Semester Review

Front

What is the definition of an inequality?

Back

An inequality is a mathematical statement that compares two expressions and shows that one is greater than, less than, or not equal to the other.

Front

What does the notation |x - a| ≤ b represent?

Back

This notation represents the set of values of x that are within b units of a on the number line.

Front

What is the formula for the domain of a linear function?

Back

The domain of a linear function is all real numbers unless specified otherwise by constraints.

Front

What is the range of a function?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce.

Front

How do you determine the axis of symmetry for a quadratic function?

Back

The axis of symmetry for a quadratic function in the form y = ax^2 + bx + c is given by the formula x = -b/(2a).

Front

What is quadratic regression?

Back

Quadratic regression is a statistical method used to model the relationship between a dependent variable and an independent variable using a quadratic equation.

Front

What is the standard form of a quadratic function?

Back

The standard form of a quadratic function is y = ax^2 + bx + c, where a, b, and c are constants.

Front

What does it mean for a function to be linear?

Back

A linear function is a function that graphs to a straight line and can be expressed in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the significance of the tolerance in manufacturing?

Back

Tolerance in manufacturing specifies the allowable deviation from a specified dimension, ensuring parts fit and function correctly.

Front

How do you find the range of a linear function given its domain?

Back

To find the range of a linear function, substitute the values of the domain into the function and determine the resulting output values.