unit 1
b(s) is a function where b is the number of books in the library and s is the number of students in the school. What is the independent variable?
What is s?
Using the following coordinate points, determine if the function is linear, exponential, or neither.
(2,1) , (3,4), (4,16)
What is exponential?
logbc = a, if and only if ba = _____?
What is c?
As input values increase, if the output values demonstrate repeating pattern over successive equal length intervals we have what is called a ________.
What is a periodic relationship?
Rewrite sin(a + b) as the sum identity.
What is sin a cos b + sin b cos a?
State if the following function is odd or even.
f(x) = -10x3
What is odd?
Identify if the exponential function is growth or decay?
f(x) = 2(7/5)x
What is Growth?
log 100 = x, solve for x
What is 2?
In what quadrant is a ray with a 100 degree angle in?
What is quadrant 2?
Evaluate sec (π/3).
What is 2?
f(x) = x2+2x-15/4x-9
What is the horizontal asymptote in this function?
What is no horizontal asymptote?
Let h(x) = 2 x 5x/2. Find h(1)
What is h(1) = 2 root 5?
Write the expression as a sum or difference of logarithm.
ln (x2 /y3)
What is 2 ln x - 3 ln y?
Given the maximum and minimum values, find the amplitude and midline.
Max: 100 Min: 20
What is y=60, a = 40?
Name the polar function, petals, and cycle.
r =2 cos (7θ)
What is rose, 7 petals, [0, π]?
Find the 5th term in (2x-1)
What is 280x3?
Let f(x) = 3x. Let g(x) be a transformation of f. Name the transformation of f.
g(x) = (f(x))-3
What is 3-3x.
Horizontal dilation and a reflection over y-axis
Solve the question rounded to nearest thousandth.
e-x = 3.65
What is x = -1.295?
If an angle is measured at 7π/15, and the radius = 6, what is the length of the minor arc?
What is 14π/5?
Convert polar to regular coordinates.
(6, π/3)
What is (3, 3(root 3))?
A diver jumps from a cliff into the water below. The function h(t) = −16t2 + 14t + 80 models the height of the diver over time, where t is time in seconds and h is the height in feet.
What is the restricted domain and restricted range?
What is [0, 2.72], and [0, 83.06]?
Find the inverse, domain, and range of the function.
f(x) = 3 / x + 6
f-1(x) = (3/x) - 6
D: All real except x = 0
R: All real except y = -6
Find the inverse of the function
b(x) = 10(3/4)x
What is 4/3 log x = b-1(x)?
Create a sine function using amp = 4, period = 3π/7, and vertical shift down 5.
What is y = 4 sin (14π/3) - 5?
Use trig identites to write the expression in terms of a single trig identity.
1-sin2x / sin2x
What is cot2x?