jeopardy limits limits with trig slope of a curve continuity potpourri $100 $200 $300 $400 $500 $100...

JeopardyJeopardyLimits Limits with

Trig Slope of a

Curve

ContinuityPotpourri

$100

$200

$300

$400

$500

$100 $100$100 $100

$200 $200 $200 $200

$300 $300 $300 $300

$400 $400 $400 $400

$500 $500 $500 $500

$ 100

Click my picture to see the answer

Evaluate using any method:

Click my picture to return to the Jeopardy Game Board

$ 100

$ 200


Evaluate using any method:

$ 200


$ 300


Evaluate algebraically:

$ 300


-1/2

$ 400



$ 400


3/4

$ 500



$ 500


-1/4

$ 100



$ 200



$ 200


-1

$ 300



$ 300


-1

$ 400



$ 400


5/2

$ 500



$ 500


2

$ 100


Identify the points of discontinuity and the type

$ 100


X = 0, removableX = 5, non-removable

$ 200


Determine all points of discontinuity.

$ 200


π/3 + 2πn5π/3 + 2πn

$ 300


Rewrite the following function (if possible) to be continuous for all x. If not possible, explain why.

$ 300


Not possible, x = -2 is a

non-removable point of discontinuity

Draw a picture of a graph that is not

continuous at x = 2 because f(2) does

not equal the limit as x approaches 2

of f(x)

$ 400


$ 400


Draw a graph that has a hole at x = 2 and an extra point above or below the hole.

$ 500


Find the value of k that will make the following function

continuous for all x

k = 4

$ 500


$ 100


Write the equation of the secant line

that connects x = -2 and x = 5 on the function f(x) =

x2

in slope-intercept form.

$ 100


$ 200


If f(x) = 6x2, find the slope of the curve at x = -3

$ 200


$ 300


Write the equation of the line that is tangent to f(x) = 5x

– 2at x = 3.

$ 300


$ 400


Write the equation of the line that is

normal to

at x = 1

$ 400


$ 500


Find the point on the function f(x) = x2 – 6x + 8 where

the tangent line is horizontal (if possible).

$ 500


(3, -1)

Find the average rate of change of f(x) = x3 – 3x over the interval [2, 10]

$ 100


$ 100


Find the equation of the horizontal asymptote for the following function (if possible) using

proper limit notation.

$ 200


y = 8

(because the limit as x approaches

infinity equals 8)

$ 200


$ 300


If , what do you know about the graph of f(x)

$ 300


There is a vertical asymptote at x = 4.

$ 400


Find the slope of the curve y = 5x2 – 3x + 2 at x = a.

10a - 3

$ 400


$ 500


At t seconds after lift-off, the height of a rocket is 3t2 ft. What is the instantaneous rate of change of the height of the rocket at 10 seconds after lift-off?

$ 500


60 ft/sec

jeopardy limits limits with trig slope of a curve continuity potpourri $100 $200 $300 $400 $500 $100...

Documents