1A
For the function s(t), s is the number of people swimming at the local pool and t is the temperature measured in Fahrenheit. What is the dependent variable?
What is s (the number of people swimming)?
What do you use to find the end behavior of a graph?
What is limit notation?
If each successive term in a sequence has a common difference (or a constant rate of change) is called what?
What is arithmetic?
When kind of function is invertible and each output value of f is mapped from a unique input value?
What is an inverse function?
What is the equation for period?
What is 2π/b?
What is the direction of the graph when the leading coefficient is negative and the degree is odd?
What is the left side going upward towards negative ∞ and the right side going downward towards positive ∞?
How do you find the vertical asymptote?
What is set the denominator equal to 0?
What is the equation for an exponential function?
What is f(x) = abx?
log100
Find the value of the logarithmic function
What is x = 2?
What is arcsin (11π/6)?
What is 1/2?
f(0) = -3, f(4) = 0 , and f(7) = 0
Are they're any guaranteed extrema? If so, state where they occur.
What is yes, on the interval [4,7]?
h(x) = x2+4x-12/(x-2)2
What are the zero(s)?
What is x=-6?
Identify if the exponential function is growth or decay and JUSTIFY your response.
f(x) = 0.2(1.3)x
What is growth and a>0, b>1?
f(x) = 455log9(x+376) -543
What is the asymptote of the equation?
What is x = -376?
1- cos2x/cos2x
What single trig identity can be shown with this expression?
What is tan2x?
y = 5x + 9
What is the rate of change of the average rates of change over consecutive equal-length intervals?
What is 0?
f(x) = x(x+2)/x2-4
What is the domain of the function?
What is (-∞,2)∪(2,∞)?
h(x) = 2 ⋅ 5x/2
Find h(1)
What is h(1) = 2√ 5?
log (4x2y)
Expand this logarithmic function
What is log4+2logx+logy?
(2, π/4)
Convert the polar coordinates to rectangular coordinates
What is (√2,√2)?
h(x) = x2 -8x+15.
What is h(x)?
What is [3,5]?
g(x) = -f(x-2) + 5
What are the transformations of this function?
What is a vertical reflection, horizontal shift to the right by 2, and a vertical shift by 5?
The value V of a new motorcycle purchased for $11000 decreases by 15.7% per year t.
What is a function to model this scenario?
What is v(t) = 11000(0.843)t?
e2x-1+68 = 207
Solve the equation and round it to the nearest thousandth.
What is x =2.967?
sin (5π/4+2π/3)
Find the exact value of the sum.
What is √2-√6/4?