jeopardy math review unit 1: functions and their graphs unit 2: polynomial and rational functions...
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Jeopardy Math ReviewUnit 1:
Functions and Their Graphs
Unit 2: Polynomial and
Rational Functions
Unit 3: Exponential and
Logarithmic Functions
Unit 4: Trigonometry
Unit 1: Functions and
Their Graphs II
100 100 100 100 100
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300 300 300 300 300
400 400 400 400 400
500 500 500 500 500
Final Jeopardy
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Calculate the midpoint between the points: (8, -5) and (-2, 3)
Calculate the distance between the points:(-7, 4) and (1, 6)
Midpoint = (3, -1)
Distance = root68 = 8.25
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Calculate the slope of the line through the given points:
Line A: (2, 4) (-3, 5)
Line B: (0, -7) (1, -2)
What kind of lines are A and B?
Slope = -1/5
Slope = 5
perpendicular
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Write the slope-intercept equation of the line that meets the following criteria:
Line C: Parallel to the line y = 3x – 9 and through the point (2, -2)
y = 3x - 8
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Given the following pairs of points, write the point-slope form of the line: Line F: (1, 2) and (0, -5)
y - 2= 1/7(x – 1)OR
y + 5 = 1/7(x – 0)
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f-1(x) = x2 – 83
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vertex = axis of symmetry:x-intercept(s) = y-intercept(s) = max/min = equation of graph:
(-2, 6) X = -2 -5 and 1 4 max @ (-2, 6)
y = -(x + 2)2 + 6
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Write the equation of the quadratic function given the vertex and point.
Vertex = (4, 5)Point = (3, 2)
y = -3(x – 4)2 + 5
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Completely factor the polynomials:
Use Synthetic Division to find the quotient.
-2x(x + 2)(x -1)
(3x - 1)(x + 2)
x2 -2x +6
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Write the complex number in standard form and write its conjugate.
Find the sum.
Find the product.
Write the complex fraction in standard form.
15 + 6i 15 – 6i
18 – 3i
-27 + 23i
-2 + 29i 13
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-2 < x < 7
Solve the nonlinear inequality:
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Evaluate the exponential function:
Write the logarithm as an exponential:
Solve the equation for x:
f(2/3) = 0
361/2 = 6
x = 5
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Evaluate the logarithms:
-3
-3
1
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Write the exponential as a logarithm:
Solve the logarithmic equation for x:
Using a calculator, evaluate the logarithm:
log5(25) = 2
x = -3
1.44
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Expand the logarithmic equation:
Condense the logarithmic equation:
= log(4y3 +2) – 6log(x) – 2 log(z)
= log8[(z-5)2/(x+3)6]
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Solve for x.
x = 32
x = 6.77
x = 100.86
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Convert the radian measure to degrees:
Convert the degree measure to radians:
Find the supplement of the angle:
Find the complement of the angle:
330°
5π/6
7π/4
π/4
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Evaluate the following:
Undefined
Root2/2
-root3/2
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Find the values of x.
x = root65 = 8.06 x = 7
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Evaluate the trigonometric functions of the angle.
5/root61
-6/root61
-5/6
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-root10/10 -root10
3root10/10 root10/3
-1/3 -3
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f(2) = 11
x = -1, 1
f(x + 3) = 5x2 + 30x + 36
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x = all real numbers except -7
x = all real numbers greater than or equal to -12
f(x) is neither
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Use bracket notation to describe all increasing, decreasing, or constant intervals of the graph.
INC DEC INC DEC INC(-∞, -8] [-8, -5] [-5, 8) (8, 6] [6, ∞)
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Write the equation of the quadratic parentfunction with A = -1, B = 5 and C = -3.
Describe the effects that each value (A, B, and C) has on the graph of the quadratic
parent function.
y = -(x+5)2 – 3
A = -1 means the graph is flipped over the x-axisB = 5 means the graph is shifted to the left 5 unitsC = -3 means the graph is shifted down 3 units
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f(x) + g(x) = x2 +x +1
f(x)•g(x) = 3x3 - 7x2 + 8x -2
f(g(x)) = 9x2 - 12x + 5
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Unit 5: Graphs and Inverses of
Trigonometric Functions
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Fill in the table and write the equation that the graph models.
amplitude = period = left endpoint = max =
a = b = c = d =
3 π (0, 5) 5
3 2 0 2
y = 2 + 3cos(2x)