Week 2

Pricewise-Defined Functions: The phone company calculates a customer’s monthly cell phone bill as follows: monthly service charge: $40 voice charges: First 100 minutes: $0.021 per minute Second 100 minutes: $0.037 per minute Additional minutes: $0.048 per minute

a. What is the charge for a month in which 153 minutes were used?

b. What is the charge for a month in which 317 minutes were used?

c. Construct a piecewise function that gives the monthly charge for x minutes of usage.

 

Week 3

Converting a Quadratic Equation 1: Given the quadratic function f(x) = 2x2 – 6x + 7

a. Find the vertex

b. Find the axis of symmetry

c. Find the x- and y-intercepts

d. State the domain and range of the function

e. Find the interval(s) over which the function is increasing

f. Find the interval(s) over which the function is decreasing

g. Graph the function

 

Week 4

The Intermediate Value Theorem: A solution of the polynomial ????????(????????)=????????5−6????????4−12????????3+32????????2+27????????−42 lies between x = 1.7 and x = 1.8. Use the Intermediate Value Theorem to isolate the x value of this solution to within 0.01.

 

Week 5

Intro to Logarithmic Functions: A computer virus is infecting a large network. As each PC becomes infected, it infects two other PCs every 3 minutes. How long until one million PCs are infected?

Attachments:

• 1492588923-m6_grp_challenge_prob.pdf