Understanding Linear Functions Concepts

The video tutorial covers the characteristics of linear functions, focusing on interval notation, domain, and range. It explains how to solve linear equations by converting them into slope-intercept form and graphing them. The tutorial also discusses the concepts of increase, decrease, and end behavior of linear functions, using two example problems to illustrate these concepts.

What is the purpose of interval notation in linear functions?

• To express the slope of a line

• To represent the domain and range

• To calculate the intercepts

• To find the maximum value

Which symbol is used in interval notation to indicate that an endpoint is included?

• Parentheses

• Braces

• Angle brackets

• Brackets

What happens to the y-values in an interval of increase?

• They increase as x increases

• They decrease as x decreases

• They decrease as x increases

• They remain constant

How do you convert the equation 4x - 8y = 16 to slope-intercept form?

• y = -2x + 4

• y = -0.5x + 2

• y = 2x + 4

• y = 0.5x - 2

What is the domain of a linear function?

• All real numbers

• Only integers

• All negative numbers

• All positive numbers

In a linear function, what does a positive slope indicate?

• The line is increasing

• The line is horizontal

• The line is vertical

• The line is decreasing

What is the end behavior of a linear function as x approaches positive infinity?

• y approaches negative infinity

• y approaches positive infinity

• y oscillates

• y remains constant

How do you find the x-intercept of the equation 2x + 6y = 18?

• Set x to zero and solve for y

• Set y to zero and solve for x

• Use the midpoint formula

• Find the slope and use it