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