Friday Homework 3:
Due Friday 6/20/14
I think what we will do with friday homework is wait to go over it until the next friday.
So technically it will not be due until then but I would recommend and encourage you
to do it by Monday anyway.
1. Draw a sketch of the following functions:
• y = sin(x)
• y = 2x2 + 3
• y = 2x − 1
• y=
1
x
2. (Write up)We can talk about the slope of a line, but does it make sense to talk
about the slope of a general curve? (For example think of y = sin(x).) How would the
slope of a curve differ from the slope of a line? For those that have had calculus, what
concept in calculus is another word for the instantaneous slope or rate of change of a
function?
3. For each of the following scenarios answer these questions (answers may vary):
• If you were to graph the given relationship which variable would be on the X-axis
and which one would be on the Y-axis? Why?
• Write a description of what the Y-intercept would represent. Write a description
of what an X-intercept would represent.
• Draw a graph of what you think the relationship would look like. Are there any
asymptotes?
Scenario 1: I decided to enter a hotdog eating contest that starts at 4pm. Time since
4pm (in minutes) and the number of hotdogs I have eaten are both changing together.
Scenario 2: A lizard (which is cold-blooded) jumps into a cold lake that is 10◦ F. The
time spent in the lake (in minutes) and the lizards body temperature (in degrees
fahreneit) both change together.
Scenario 3: A bird watcher notices that the number of seeds she puts in her bird feeder
per day and the number of birds that visit the feeder per day both change together.
1