MATH 114 FUNCTIONS AND GRAPHICAL ANALYSIS STUDY GUIDE 2026

MATH 114 FUNCTIONS AND GRAPHICAL
ANALYSIS STUDY GUIDE 2026

◉ What does zero slope mean?
Answer: The line has no rise, it is a horizontal line.


◉ What does undefined slope mean?
Answer: The line is a vertical line


◉ What is the Profit equation?
Answer: P(x) = R(x) - C(x)


◉ What is the revenue equation?
Answer: R(x) = (price per unit)(number of units)


◉ What is the Cost equation?
Answer: C(x) = (base cost of production) + (cost per additional unit
multiplied by x)


◉ Write the equation of the line with the given conditions.

, Slope -1/3 and y-intercept 5
Answer: y= -1/3 x + 5


◉ Write the equation of the line with the given conditions.


Passing through (-4,7) and (0, -5)
Answer: y= -3x - 5


◉ Write the equation of the line passing through (5,-3) and parallel
to the line with the equation:


2x + y = -3
Answer: y= -2x + 7


◉ For the function, find the difference quotient.


f(x) = 5x - 3
Answer: 5


◉ For the function, find the difference quotient.


f(x) = x^2 + 7