Unit 1A
the variable of b in this function:
b is the number of books in a library and s is the number of students in a school
What is a dependent variable?
The ratio of two polynomials where the polynomial in the denominator cannot equal zero
What is a rational function?
A sequence in which each successive term has a common difference (or a constant rate of change)
What is an arithmetic sequence?
log324 = 2/5 rewritten as an exponent
What is 322/5 = 4?
Cos 2π
What is 1?
The rate of change between (2,4) and (2,5)
WHat is an undefined solution?
The domain of:
x2-4/3x + 12
What is (-∞, -4) (-4, ∞)?
What type of function is given with the coordinates
(3, -1) (5, 7) (7, 15)
What is a linear function?
log6x, when x=12
What is 1.387?
The equation and the midline for the following sinusoid
Maximum value: 1.9
Minimum value: 0.1
What is 1.9+0.1/2 = 1 and 0.9?
The average rate of change for the quadratic function x2 + 2x +1 for the interval [6,7]
What is 15?
Third term in the sequence:
f(x) = (2x+3)6
What is 2160x4?
f(x) = 3x and g(x) is a transformation of f(x)
transformation(s) of f for g(x)= 9 x 3x
What is a horizontal shift left 2 units?
The inverse of 10 * log2x
what is 2x/10?
create a sin function that has the following attributes:
amplitude: 3
period: π
phase shift: left π /8
vertical shift: down 4
what is y = 3 sin(2(x+π /8))-4?
the limit notation for the following equation:
p(x) = x3
What is limx --> -∞ p(x) = - ∞, limx --> ∞ p(x) = ∞?
FInd the hole(s):
x2 - x - 12/ x - 4
What is x = 4?
f(x) = 3x and g(x) is a transformation of f(x)
transformation(s) of f for g(x)= (f(x))-3
What is a horizontal dilation and reflection over the y-axis?
Asymptote, domain, and range of f(x) = log(x-5)2
What is x=5, (5, ∞), (0, ∞)?
arcsin (-2π /2)
what is 7π /4?
Input: 0, 1, 2, 3, 4, 5,6, 7
Output: 4, 1, 6, 127, 688, 2349, 6226, 14011
The degree of the given input and output values
What is 7?
The equation of the slant asymptote:
6x3+15x2-5/2x2+3x
what is y = 3x+2?
FInd the inverse function of f(x)= 1/2x2 + 2
What is √2x-4?
solve for x
3-log2(x+7) = log25
what is -27/5?
r = 6 cos (5θ)
find the:
name, cycle, # of petals (if any), value of r when θ = π π /6 and θ = π
What is a rose, [0, π], 5 petals, r = -3√3, and r = 6