Sequences
Determine whether each sequence is arithmetic or geometric: (give two answers, one for each)
A) 4, 12, 36, 108
B) 8, 4.5, 1, -2.5
A) Geometric
B) Arithmetic
Find the slope of the line that passes through (2, 4) and (5, 9).
5/3 or 1.67
Write an explicit function, given the recursive function below:
f(x) = f(x - 1) * 7 , f(0) = 3
Sketch a graph that has:
-a maximum of (0,8)
-a domain of [-4, 6)
(answers will vary)
Which rapper's given/birth name is Aubrey Graham?
Drake
Fill in the blanks:
An arithmetic sequence has a common ____________ and a geometric sequence has a common ______________.
difference
ratio
f(x) = f(x - 1) + 3 and f(0) = 7
Given the information above, write an explicit function.
f(x) = 3x + 7
Joey puts $1000 into a bank account that earns 2% interest every year. Let x = # of years and f(x) = value of Joey's account.
Write a function to model the scenario.
f(x) = 1000(1.02)x
Find the domain and range of the function drawn on the whiteboard:
Domain: (0, 6]
Range: (2, 4]
Where will the graphs of the two equations below intersect?
y = 3x - 4
y = 3x + 5
They won't. They are parallel.
The following sequence is arithmetic. Fill in the blanks:
4, ___, ___, 55
21 and 38
(The common difference is 17.)
A line passes through the points (6, -2) and (12, -6). Write the equation of this line in slope-intercept form.
Write the exponential function of the curve that passes through (0,8) and (1,4).
f(x) = 8 * 0.5x
Name two words (NOT proper nouns) that rhyme with "range."
change, strange, mange, grange.....
In Biology, what type of cells have no nucleus?
Prokaryotes
Find the common ratio of this geometric sequence:
48, 9.6, 1.92, 0.384
0.2 or 1/5
A line passes through (-2, 1) and (3, 11). Write the equation of the line in point-slope form.
f(x) = 2(x + 2) + 1
or
f(x) = 2(x - 3) +11
Spell the word "exponential"
E-X-P-O-N-E-N-T-I-A-L
Given h(x) = f(x) + g(x) and
f(x) = 2x - 4 and g(x) = -3x + 5
Sketch a graph of h(x)
(It should have a slope of 1 and a y-intercept of 1.)
What is the name of Okonkwo's village in the novel Things Fall Apart?
(Must be spelled correctly for points.)
Umuofia
48, ___, ___, 3.072
19.2 and 7.68
The common ratio is 0.4 (or 2/5)
Find the point where the lines of the two equations below will intersect:
y = 2x - 4
y = (1/3)x + 16
(12,20)
A scientist is studying a population of bees. Bees! The population is growing exponentially. On day 2, the population is 180 bees. On day 4, the population is 1620 bees. What was the initial population of bees (on day zero)?
20
Find the domain and range of: y = x2
Domain: all real numbers
Range: [0, infinity)
How can you use eight 8s and only addition to make a sum of 1000?
8 + 8 + 8 + 88 + 888