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
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
