Unit 1A and B
The name of the value found by y2-y1/x2-x1
What is Average Rate of Change
What you call the "trough" or "smiley" part of a graphed parabola.
What is the concavity.
The rewritten version of the given logarithm in exponential form:
log264 = 6
26 = 64
The quadrant the terminal ray lands in the given angle:
θ= -5.2π
What is quadrant 2
This is the type of function that uses the radius and theta to plot the point. (r, θ)
What is a polar function
The rate of change between the points (2,4) and (1,3)
What is 1?
Given the following coordinate points, is the function linear, exponential, or both.
(13,20), (14,4), (15,4/5)
What is exponential.
This is the inverse of the give function:
h(x) = 45x
What is h-1(x) = 1/5log4x
Evaluate the value of the expression:
sin (3π/2)
What is -1
Evaluate tan (π/2)
What is 1/0 = undefined
The zeros of f(x) = -x(x+3)(x-8)
zeros: x=-3,8
The composition value of f(g(-1)) when:
f(x)=4x
g(x)=x-x2
What is f(g(-1))= 1/16
Rewrite the following as a sum of logarithms:
log3(xy3)
log3x + 3log3y
Describe the concavity of f on the interval, and if it is increasing or decreasing.
Given that: 0 < θ <π/2
Given f(θ) = cosθ
What is concave down and decreasing.
The principle value in radians of the expression: sin-1(1/2)
What is π/6
The end behavior in limit notion of the function g(x) = 4x7-3x4+x
What is: limx-> -∞ p(x) = - ∞
limx-> ∞ p(x) = ∞
The inverse of the given function:
f(x) = 1/7x + 6
What is f-1(x) = 7x - 42
The solution to the inequality given (to the nearest thousandth):
e2x-1+68 = 207
What is 2.967
Identify the amplitude, period, phase shift, and vertical shift of the following function
f(x) = 13sin(4(x+π/11)) - 7
Amplitude: 13
Period: π/2
Phase shift: left π/11
vertical shift: down 7
The inverse function and domain and range of f-1(x)
f(x) = 2sinx-5 for -π/2 ≤ x ≤ π/2
What is sin-1(x+5/2)
and Domain: -7 ≤ x ≤ -3
Range: -π/2 ≤ x ≤ π/2
The expanded version of the given: (x+3)5
Using the binomial theorem
What is:
x5+15x4+90x3+270x2+405x+243
f(x) is where the transformation happens. Using this knowledge let g(x) be the transformation of f. This is the transformation of the given function: f(x)= 7x and g(x) = (f(x))-3
What is a horizontal dilation and reflection across the y-axis (7-3x).
(Use the formula A=Pert, A is how much money we currently have, P is the principal, r is the interest rate, and t is the amount of time in years.)
If Vince Bayeta has $250,000 in his retirement account that earns him 8.5%, This is how long will it take him to earn at least $1,000,000.
What is t > 16.3 years
Using a calculator this is the sinusoidal model from the data set:
x=0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19
f(x) = 16, 2, -10, -1, 18, 21, 40, 52, 37, 29, 12, -2, -11, 4, 17, 22, 38, 49, 39, 26
f(x) = 25.683 sin(0.636x -2.903) + 19.899
The exact value of the difference:
sin (3π/4 - 5π/6)
What is (√2 -√6)/4