Algebra Final Project

Front

What is the solution to the inequality: 2 < -4 - 3x < 11?

Back

-5 < x < -2

Front

Which of the following is not a linear function? A gym charges a membership fee of $10.00 down and $10.00 per month. A $12,000 car depreciates 15% per year. A cab company charges $2.50 initially and $3.00 per mile. A restaurant employee earns $12.50 per hour.

Back

A $12,000 car depreciates 15% per year.

Front

Find the value of x that results in equal outputs for j(x)=3x^2 and b(x)=|x + 2|.

Back

x = 2

Front

What is the term for the set of all possible input values in a function?

Back

Domain

Front

Solve for x: 8x + 9 - 3x = 8 + 5x + 1.

Back

Infinite Solutions

Front

What is a linear function?

Back

A function that can be graphically represented as a straight line, defined by the equation y = mx + b.

Front

What does the slope of a line represent in a linear function?

Back

The rate of change of the function, indicating how much y changes for a unit change in x.

Front

What is the y-intercept of a linear function?

Back

The value of y when x = 0, represented by the term b in the equation y = mx + b.

Front

How do you determine if a function is linear?

Back

Check if it can be expressed in the form y = mx + b, where m and b are constants.

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.