Maxima and Minima
Combining and Composing
Fractional Expressions and Factoring
Piecewise Functions
Rate of Change
100
This is how many local maxima the following function has https://samjshah.files.wordpress.com/2011/01/2d-max.png
What is 2
100
This number results from the follwing operation: (f+g)(-1) when f(x)=2x^2+x+4 and g(x)=3-x^2
what is 9
100
These are the x-values which are excluded from the following function: f(x)=(2x+6)/(4x-16)
What is x=4
100
This is the domain of the following graph: http://www2.bakersfieldcollege.edu/resperic/online/mathb6a/Lectures/ch1/4/HW1.4/image001.jpg
What is [-4,4]
100
This is what average rate of change looks like on a graph
What is slope
200
This point is the global minimum of the following function http://byjus.com/maths/wp-content/uploads/2015/12/0-17.png
What is point A
200
This function is the result of adding these two functions: f(x)= x^2+7x-8 and g(x)=2x+6-7
What is x^2+9x-9
200
This is the domain of the following function f(x)= (5)/(x-2)
What is (-∞, -2) U (2,∞)
200
This is the range of the following graph: https://people.richland.edu/james/lecture/m116/functions/piecewise1.gif
What is (-∞, 6)
200
This is the net change on the function f(x)=2x+3 from x=4 to x=7.
What is 6
300
This is a function with no maxima or minima
What is a horizontal line
300
This function results from multiplying these two functions: f(x)=x^2-x+4 and g(x)=3-x^2
What is -2x^4+x^3+2x^2-3x+12
300
These are the m-intercepts of the following equation f(m)=m^2-9m+8
What is m=8 and m=1
300
These are the increasing and decreasing intervals of the following graph: https://i.stack.imgur.com/TlfM5.png
What is Increasing: (-∞,-2), (2,2.5) and Decreasing: (-2,-1), (1, 2), (2.5, ∞)
300
This is the average rate of change on the function f(x)=4(x+6)-3 from x=2 to x=6
What is 4
400
This is the maximum point of the following function f(x)=-2x^2-8x+4
What is (-2, 12)
400
This function results from performing the following operation: f(g(x)) when f(x)=5/(x-1) and g(x)=4/(3x-2).
What is 5/(3x-3)
400
This is the domain of the following function f(x)= (x+8)/[(x^2+2x+1)(x-6)]
What is (-∞, -1) U (-1,6) U (6,∞)
400
These are the domain, range, and increasing and decreasing intervals of the following graph: https://www.kaptest.com/blog/prep/wp-content/uploads/sites/21/2016/08/sat_c10_cb_03-296x300.png
What is Domain: (-∞, ∞), Range: (-∞, 9), Increasing: (0,8), and Decreasing: (-2,0), (3,∞)
400
This is the average rate of change on the function f(x)=x^2+6x+8 from x=2 to x=6
What is 14
500
This is the answer to the following word problem: A rectangle's perimeter is 71 feet. What length and width should it have so that its area is maximum? What is the maximum area
What is L= 17.75 ft, W=17.75 ft, and A= 315.0625 ft^2
500
This is the domain of f(g(x)) when f(x)=1/(x-2) and g(x)=(x+4)^(1/2)
What is [-4,0)U(0,∞)
500
These are the x-intercepts of this function: f(x)=2x^3+17x^2+21x
What is x=0, x=-3/2, and x=-7
500
This function models how much you get paidb(P) as a function of your hours worked (t) according to this problem: You have a summer job that pays time and a half for overtime. (If you work more than 40 hours) After that it is 1.5 times your hourly rate of $7.00/hr.
What is P(t)= 7t if 0≤t≤40 10.50(t-40)+280 if t>40
500
This is the average speed of the soccer ball in the following problem: A soccer ball is kicked 25 m, then 15 m, 8 m , and finally 12 m. All this takes place in 45 seconds. Calculate the average speed of the soccer ball. Assume the ball is always kicked in the same direction
What is (4/3) m/sec
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