FUNctions
Exponentials and Logs
Rates of Change
Trigonometry
Quadratics
100
If g(2)=5, f(5)=8, and g(8)=2, determine f(g(g(8)))
What is 8.
100
What type of function is given by the formula y=5(0.09)x
What is the type of exponential function Austin will not say
100
What is the average rate of change of the function y=3x-4 between x=2 and x=5
What is 3
100
What angle has a sine value of 0.5?
What is 30 degrees (or pi/6 radians)
100
State the quadratic formula.
What is ...
200
The following ordered pairs define a function f: (0,4) (1,3) (2,5) (3,0) (4,2) (5,1) Determine f-1(5)
What is 2
200
What number is approximated by the formula (1+1/n)n when we select very large values of n
What is e
200
What is the average rate of change of the function y=-x2 between x=2 and x=5
What is -7
200
An acute angle has a sine value of 0.866. What is that angle's approximate cosine value?
What is 0.5
200
What is the equation of a quadratic with zeros of (3,0) and (-4,0) and a y-intercept of -6?
What is y=0.5(x-3)(x+4)
300
State the domain and range of y=(x-4)0.5-1
What is Domain: x>=4, Range: y>=-1
300
DAILY DOUBLE: Find the formula for the exponential growth function that passes through (0,25) and has a rate of growth of 12%
What is y=25(1.12)x
300
I leave home and drive to school 8.5 miles away. It takes me 12 minutes to make the trip. What is my average speed for the journey?
What is 42.5 miles per hour
300
If sin(x)=0.707 and cos(x)=0.707, what is sin(2x)?
What is 1
300
What is the equation of a quadratic with vertex at (-4,5) and a y-intercept of (0,9)?
What is y=0.25(x+4)2+5
400
State f(x)/g(x)+h(x) if f(x)=x2+x-2, g(x)=x+2, and h(x)=1
What is x
400
Determine the doubling time of an exponential function that has a continuous rate of growth of 4% per year
What is approximately 17.3 years
400
True or False: I averaged a speed of 35 miles per hour on a trip last week, but I never actually drove 35 miles per hour on the trip.
What is False
400
A triangle has a side-angle-side relationship of 5, 35 degrees, and 7 respectively. How long is the remaining side?
What is 4.1
500
What are the ways a function can be described?
What is the rule of four: words, formulas, graphs, or tables
500
A student observes that ln(ex) and eln(x) have graphs that don't look the same. Explain why there is a difference between the two.
What is ex is defined for all x and is always positive, so ln(ex) has no domain restriction but ln(x) is only defined for positive x
500
Estimate the instantaneous rate of change for the function y=(x-4)2+3 at the point (4,3)
What is zero
500
A triangle has an angle-angle-side relationship of 30 degrees, 40 degrees, and 12 cm. How long are the other two sides?
What is 15.4 and 22.6
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