Zero Hero
Trig Truths
Identity Crisis
Function Frenzy
Slope & Growth
100
What are the zeros of this function: f(x)=(1/2)(x+3)(x+1)^2(x-2)?

What is x=-3, x=-1, and x=2?

100

What is the exact value of tan(pi/3)?

What is sqrt3?

100

If a graph is increasing, what is the average rate of change?

What is the ROC is positive?

100

The function h is given by H(x)=3ln(x-2)+5. What describes the end behavior of h(x)?

What is as x approaches 2^+, h(x)=-infinity & as x approaches infinity, h(x)=infinity?
100

Which of the following describes the relationship between the graphs of f(theta)=cos(theta) and g(theta)=5cos(theta) in the xy-plane?

What is the graph of g is a vertical dilation of the graph of f?

200

Name 1 Sum and Difference Angle Formula.

What is:

sin(A + B) = sin(A)cos(B) † cos(A)sin(B)

sin(A - B) = sin(A)cos(B) - cos(A)sin(B)

cos (A + B) = cos(A)cos(B) — sin(A)sin(B)

cos (A - B) = cos(A)cos(B) † sin(A)sin(B)?

200

In what places is Cosecant undefined on the unit circle?

What is wherever sin(theta)=0?

200

The graph of a function is concave ____ on intervals in which the rate of change is decreasing.

What is down/concave down?

200

A population of bacteria is 600 at time t=0 hours. The population doubles every 4 hours. If the function P give the population at time t hours for t is greater than or equal to 0, what expression defines P(t)?

What is 600*2^(t/4)?

200

Find the exact value of cos(5pi/6).

what is (-sqrt(3))/2?

300

Name 1 Pythagorean identity

What is:

sin^2(theta)+ cos^2(Theta)=1

tan^2(theta)+ 1 = sec^2(theta)

1+ cot^2(theta) = csc^2(theta)?

300

In what two quadrants is sin(theta) negative on the unit circle?

What is quadrants 3 and 4?
300

What is the equation for the Average Rate of Change (AROC)?

What is (y2-y1)/(x2-x1)?

300

What type of function: as input values change multiplicatively, output values change additively?

What is a logarithmic function?
300

Find the exact value of sin(5pi/6).

What is 1/2?

400

What is arctan(x) similar/equivilent to?

What is tan^(-1)(x)?

400

Where does cos(theta)=0?

What is cos(pi/2) and cos(5pi/2)?

400
What type of translation is this: g(x)=f(x)+k?

What is a vertical translation?

400

What type of function: as input values change additively, output values change multiplicatively?

What is an exponential function?

400
Find the exact value of tan(5pi/6).

What is (-sqrt(3))/3?

500

What is csc(theta) equal to?

What is 1/sin(theta)?

500

The six fundamental trigonometric functions?

what is sine, cosine, tangent, cosecant, secant, and cotanget?

500

What is the hole of f(x)=(x^2+x-6)/(-4x^2-16x-12)?

What is x=-3?

500

The inverse function and domain and range of the inverse. f(x) =squaroot(x-3)+2

What is F^-1(x) =(x-2)^2+3, Domain x>=2, Range y>=3?

500

In the xy-plane, an angle in standard position measures (5pi)/6 radians. A circle centered at the origin has radius 8. What are the coordinates of the point of intersection of the terminal ray of the angle and the circle?

What is (-4sqrt3,4)?