Polynomial Functions
An _____ is a line that a curve approaches but never touches.
An Asymptote
What does the "a" represent in the following exponential equation:
y = a(b)x
The initial amount
What does the a "a" represent in the following equation:
θ= a/r
The length of an arc of a circle
What is cscθ equivalent to?
1/sinθ
What is the degree of this function:
6x3 - 3x2 +4x - 9
Which Exponent Law is this:
(xa)(xb) = xa+b
The Product Rule
How do you convert a measurement in degrees into radians?
Multiply degree measurement by π/180
What is cotθ equivalent to?
cosθ/sinθ
What is the domain and range of this function?
f(x) = (x-1)2 + 3
D: {xElR}
R: {yElR l y≥3}
How is "x" calculated in the exponential equation, y= a(b)x
Total Time / Time it takes for one growth or decay period
Convert 225° into radian measures.
5π/4
Using the transformation identities, complete the equation below.
sin(x + __) = cosx
π/2
What is the end behavior of a function with and EVEN DEGREE and a NEGATIVE leading coefficient? (Which quadrant to which quadrant)
Q3-->Q4
An insect colony has a current population of 50 insects. Its population doubles every 3 days. What is the population after 12 days?
800 insects
Using special triangles and the CAST rule, find the exact value of the trig ratio:
tan(11π/6)
-1/√3
OR
-√3 /3
Determine if the three functions below are odd or even functions. (Must be perfect to score the points)
sin(x)
cos(x)
tan(x)
Even: cos(x)
Odd: sin(x), tan(x)
The function f(x) = x4 is stretched vertically by a factor of 3, reflected vertically in the x-axis, and translated 6 units down and 1 unit to the left.
Write the resulting equation given the transformations above.
g(x) = -3(x + 1)4 -6
Evaluate the logarithm without a calculator:
y= log(1/100)
y = -2
Calculate the period length of the following function:
3sin[0.5(θ + π/3)] -1
4π
Which function(s) (sin, cos, tan) have rotational symmetry about the origin?