Chapter 2
A function F is defined by the rule F(x) = 1/(x2-9). What is the domain of the function F?
What is D : All Real Numbers Not Equal to + or - 3.
True or false? If g(x)=x2, f(x)=3x, and h(x)=3x3, does h/g=f
What is True?
True or False and explain why? 7 is a factor of 35+15
What is False, because 7 is not a factor of 15 so it doesn't meet the Factor of a Sum of Integers Theorem?
Convert 240 degrees into exact radians.
What is 4(pi)/3?
Identify whether the following is an identity. cscx * sinx = tanx * cotx
What is yes.
Consider the function given by the rule y = 2x. Find the range of this function if its domain is the set of negative integers.
What is the set of negative even integers?
Solve 10x = 2064 to the nearest thousandth.
What is 3.315
Find the degree of the following polynomial. (5x6+3x4-9) - (5x6+3x2-4)
What is 4?
Convert 7(pi)/4 into degrees.
What is 315 degrees?
When proving identities, one can solve one side using definition, known identities, and algebraic properties until it matches the other side, or one could
What is rewrite each side until they are equal?
Consider the function g whose entire graph is the points {(-1, -1), (0, 0), (1, 2), (2, 3), (3, 1), (4, 0)}. Identify the domain and range of g.
What is
D : Set of Integers -1 < or = x < or = 4
R : Set of Integers -1 < or = y < or = 3
Using u-substitution, find all real solutions to (x+4)3 - 4 = x
x=-4 or x=-3
Use long division to solve 6x2-16x+10 divided by 2x-2
What is 3x-5?
A unit used to measure angles that is equal to the distance on the arc of the unit circle.
What is radians?
A basic addition identity of cos(a+b) can be expanded to
What is cos(a)cos(b) - sin(a)sin(b)?
Explain why the lim(x --> infinity) 200/x2 = 0
What is because x will grow forever larger than 200 and create fractions that approach 0 but never equal 0.
Solve (1/2)x > 32
What is x < -5?
Write 167 using base 2 notation
What is 101001112?
The shortcut phrase for remembering right triangles.
What is SOH CAH TOA?
Express tan(5(pi)/12) exactly
What is (1+root3)/(1-root3)
Is the function f(x) = x28 even, odd, or neither.
What is even?
Give an absolute value inequality for when the following situation is untrue. An pie bakes optimally at 350 degrees fahrenheit (F), but will still reach optimal baking if within 7 degrees.
What is Absolute Value of F - 350 > 7
Write the number 4*107 + 3*105 + 8*102 in base 10.
What is 40300800?
A sin wave voltage is given by v=120sin(20880t), find the period of the wave, to the nearest millisecond, where t is in seconds.
What is 17 ms?
If sinx = 5(pi)/12, find cos2x
What is 119/169?