1.1 Functions and Notation
1.2 Interpreting Graphs
1.3 Concavity
1.4, 1.5, 1.6 Rates of Change
100
Find f(5) and find f(x)=2
f(x) =sqrt(x-4).
f(5)=1 and
f(x)=2 when x=8
100
On which interval is the function decreasing?
(-6, 5)
It's always going down from left to right.
100
At which x-value(s) does the graph of have a
point of inflection?
x = -1 and x = 1
100
The average rate of change of a linear function f on the interval -5≤x≤2 is -10. Find f(8)-f(6).
-20
Linear functions has a constant rate of change.
200
Let f(x) give the number of spam emails that accumulate in someone’s junk mail by day x of the month. Write an expression that can be used to find the average rate at which spam emails are received between the first and tenth day of the month.
(Hint: think AROC for x=10 and x=1)
(f(10)-f(1))/(10-1)
200
On what interval is the function increasing?
(hint: just the function, not the rate of change)
(3.5, 7)
200
On which interval of x is the graph increasing at an increasing rate?
(-2, -0.5)
200
The graph of f is shown. Which of the following is the greatest value? The slope of the secant line between points A and E, or the slope of the tangent line at point B.
The slope of the secant line between A and E.
(since a slope of zero is greater than a negative slope)
300
Shana's art supply store sells paint brushes in sets of 3 for $17. The high school art teacher needs to buy at least 70 brushes for the next semester's classes but must stay in her budget of $480. Let C(s) represent the art teacher's cost when buying s sets of paint brushes.
What is the domain of C(s)?
23<=s<=28
300
The complete graph of a function is shown. If f(k)=-2, find f(k/2).
k =-4, so
f(k/2) = f(-2)=-3
300
On which interval(s) is the graph decreasing at an increasing rate?
(-1, 0) and (2,3)
300
Selected values of a quadratic function f are given in the table. Find the value of w/z.
w=6
z=22
w/z=3/11