Math 111: Exam 02 Solutions - Blake Farman - University Of South Carolina

Math 111: Exam 02 Solutions - Blake Farman - University Of South Carolina - 2013

MATH 111: EXAM 02 SOLUTIONS

BLAKE FARMAN

UNIVERSITY OF SOUTH CAROLINA

Answer the questions in the spaces provided on the question sheets and turn

them in at the end of the class period. Unless otherwise stated, all

supporting work is required.

Name:

1 (4 Points). (a) State the Point-Slope form of a line passing through the point (x

, y

) with

slope m.

(b) State the Slope-Intercept form of a line with slope m and y-intercept b.

Solution. (a) The Point-Slope form of a line passing through the point (x

, y

) with slope m

= m(x

(b) The Slope-Intercept form of a line with slope m and y-intercept b is

y = mx + b.

2 (6 Points). Let f (x) be a function. State the average rate of change of f between x = a

and x = b.

Solution. The average rate of change of f between x = a and x = b is

f (b)

f (a)

f (b)

3 (5 Points). State the growth rate formula for a function f (x).

Solution. The growth rate formula for a function f (x) is

f (x + 1)

f (x)

r =

f (x)

Date: June 7, 2013.

Math 111: Exam 02 Solutions - Blake Farman - University Of South Carolina - 2013