Jeopardy Limits Limits with Trig Slope of a Curve Continuity Potpourri $100 $200 $300 $400 $500 $100 $200 $300 $400 $500.

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Presentation transcript:

Jeopardy Limits Limits with Trig Slope of a Curve Continuity Potpourri $100 $200 $300 $400 $500 $100 $200 $300 $400 $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 Click my picture to see the answer Evaluate using any method:

$ 200 Click my picture to return to the Jeopardy Game Board

$ 300 Click my picture to see the answer Evaluate algebraically:

$ 300 Click my picture to return to the Jeopardy Game Board -1/2

$ 400 Click my picture to see the answer Evaluate algebraically:

$ 400 Click my picture to return to the Jeopardy Game Board 3/4

$ 500 Click my picture to see the answer Evaluate algebraically:

$ 500 Click my picture to return to the Jeopardy Game Board -1/4

$ 100 Click my picture to see the answer Evaluate algebraically:

$ 100 Click my picture to return to the Jeopardy Game Board

$ 200 Click my picture to see the answer Evaluate algebraically:

$ 200 Click my picture to return to the Jeopardy Game Board

$ 300 Click my picture to see the answer Evaluate algebraically:

$ 300 Click my picture to return to the Jeopardy Game Board

$ 400 Click my picture to see the answer Evaluate algebraically:

$ 400 Click my picture to return to the Jeopardy Game Board 5/2

$ 500 Click my picture to see the answer Evaluate algebraically:

$ 500 Click my picture to return to the Jeopardy Game Board 2

$ 100 Click my picture to see the answer Identify the points of discontinuity and the type

$ 100 Click my picture to return to the Jeopardy Game Board X = 0, removable X = 5, non-removable

$ 200 Click my picture to see the answer Determine all points of discontinuity.

$ 200 Click my picture to return to the Jeopardy Game Board π/3 + 2πn 5π/3 + 2πn

$ 300 Click my picture to see the answer Rewrite the following function (if possible) to be continuous for all x. If not possible, explain why.

$ 300 Click my picture to return to the Jeopardy Game Board 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 Click my picture to see the answer

$ 400 Click my picture to return to the Jeopardy Game Board Draw a graph that has a hole at x = 2 and an extra point above or below the hole.

$ 500 Click my picture to see the answer Find the value of k that will make the following function continuous for all x

k = 4 $ 500 Click my picture to return to the Jeopardy Game Board

$ 100 Click my picture to see the answer Write the equation of the secant line that connects x = -2 and x = 5 on the function f(x) = x 2 in slope-intercept form.

$ 100 Click my picture to return to the Jeopardy Game Board

$ 200 Click my picture to see the answer If f(x) = 6x 2, find the slope of the curve at x = -3

$ 200 Click my picture to return to the Jeopardy Game Board

$ 300 Click my picture to see the answer Write the equation of the line that is tangent to f(x) = 5x – 2 at x = 3.

$ 300 Click my picture to return to the Jeopardy Game Board

$ 400 Click my picture to see the answer Write the equation of the line that is normal to at x = 1

$ 400 Click my picture to return to the Jeopardy Game Board

$ 500 Click my picture to see the answer Find the point on the function f(x) = x 2 – 6x + 8 where the tangent line is horizontal (if possible).

$ 500 Click my picture to return to the Jeopardy Game Board (3, -1)

Find the average rate of change of f(x) = x 3 – 3x over the interval [2, 10] $ 100 Click my picture to see the answer

$ 100 Click my picture to return to the Jeopardy Game Board

Find the equation of the horizontal asymptote for the following function (if possible) using proper limit notation. $ 200 Click my picture to see the answer

y = 8 (because the limit as x approaches infinity equals 8) $ 200 Click my picture to return to the Jeopardy Game Board

$ 300 Click my picture to see the answer If, what do you know about the graph of f(x)

$ 300 Click my picture to return to the Jeopardy Game Board There is a vertical asymptote at x = 4.

$ 400 Click my picture to see the answer Find the slope of the curve y = 5x 2 – 3x + 2 at x = a.

10a - 3 $ 400 Click my picture to return to the Jeopardy Game Board

$ 500 Click my picture to see the answer At t seconds after lift-off, the height of a rocket is 3t 2 ft. What is the instantaneous rate of change of the height of the rocket at 10 seconds after lift-off?

$ 500 Click my picture to return to the Jeopardy Game Board 60 ft/sec