Functions and Sums
The domain of the function in interval notation:
f(x)= sqrt(x -2)
What is [2,∞) ?
Transformations of the parent function f(x) = sqrt(x) in the following function:
f(x)=-2sqrt(x-5)-9
What is reflect over x-axis, stretch vertically by a factor of 2, shift right 5, shift down 9 ?
The exact value of
sin-1(cos 120)
What is -30o?
The remainder of
(x^2+5x+5) divide (x-3)
What is 15?
The exact value of cot 240o
What is
-(sqrt3)/3
f(g(x)) if f(x)=x2+3x and
g(x)= sqrt(x -2)
What is
x-2+3sqrt(x-2)
The amplitude, period, and phase shift of the function f(x)=-6 sin(2x+2π)+4
What is
Amplitude = 6
Period = π
Phase Shift = π
?
The domain and range of
y = cos-1x
pi
What is
D: [-1, 1]
R: [0,pi]
?
If a population grows exponentially with a growth rate of 5.6%, how long does it take for the population to double in years?
What is 12.4 years?
The degree measure of
(7pi)/12 radians
What is 105?
The sum of the infinite geometric series
1 - 2/3 + 4/9 - 8/27....
What is
3/5
?
The end behavior of the graph of the polynomial below
f(x)= -3x^4 + 2x^2- x + 4
What is
y →-∞ as x →-∞
y →-∞ as x →∞
?
The inverse of the function:
f(x) = 2(x-1)^2+3
What is
f^-1(x)= sqrt((x-3)/2)+1
?
Find all rational zeros for the function
f(x) = x^3+3x^2-6x - 8
What is x = 2, -4, and -1?
cos 2θ, given that θ is in Quadrant II and
tan θ = -5/12
What is
-119/169
?
The function below is __________________ (even, odd, neither)
f(x) = x^2 - 2x
What is neither?
The x-intercepts of the function
f(x) = (x^2-4x-12)/(x^2+3x+2)
The angle of elevation to the top of a 31-foot tree from a point 20 feet from the base (rounded to the nearest degree)
What is 57o?
The solution to the equation:
log(3x+1) - log(x-2) = 1
What is x = 3?
csc x - cos x cotx
What is sin x?