Question 1
Question
How do you find the real roots of the following equation?
Question 2
Question
For transformations, what happens when a > 1?
Question 3
Question
For transformations, what happens when k > 1
Question 4
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For transformations, when (a) is negative there is a reflection of the x axis and when (k) is negative there is a reflection of the y axis.
Question 5
Question
If d is positive in the general transformed form that means ______________
Question 6
Question
How do you find the real roots of this equation?
Question 7
Question
This equation corresponds with
Answer
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log (b) x = y
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log (b) y = x
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log (x) b = y
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log (y) x = b
Question 8
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Both equations equal
Question 9
Question
How do you calculate log (a) x?
Answer
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(log x)/(log a)
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(log a)/(log x)
Question 10
Question
How is this equation calculated?
Answer
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ln (98)/ ln (12) = x
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ln (12)/ ln (98) = x
Question 11
Question
125^(2x) corresponds with
Answer
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2 ln 125
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125 ln 2
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21 ln 25
Question 12
Question
This equation corresponds with
Answer
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(5 ln (8))/(3 ln (8) - (6 ln (3)) = x
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(3 ln (8))/(6 ln (3)) - (5 ln (8)) = x
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(6 ln (3))/(5 ln (8) - (3 ln (8)) = x
Question 13
Question
How do you calculate this equation?
Answer
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(5 ln (8)) + (7 ln (3))/(3 ln (8)) - (6 ln (3))
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(5 ln (8)) + (3 ln (8))/(7 ln (3))- (6 ln (3))
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(5 ln (8)) - (7 ln (3))/(3 ln (8)) + (6 ln (3))
Question 14
Question
(3^5 - 1) ⚫ 3^x = 177 876 corresponds with the equation in the image
Question 15
Question
if we factor 8^(x+7) - 8^x, you get (8^7 -1) ⚫ 8^x
Question 16
Question
select every true statement
Answer
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f(x) =/= f(-x) =/= -f(x) → f(x) is neither
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f(x) = f(-x) → f(x) is even
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f(-x) = -f(x) →f(x) is odd
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f(-x) = -f(x) →f(x) is neither
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f(x) =/= f(-x) =/= -f(x) → f(x) is even
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f(x) = f(-x) → f(x) is odd
Question 17
Question
this formula helps find the __________
Question 18
Question
How do you find the instantaneous rate of change?
Question 19
Question
Given that f(x)=x+1 and g(x)= 7x^2+11x−9 what would the equation for g (o) f be?
Question 20
Question
How do you calculate a DEPRECIATION rate?
Question 21
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the formula used to find an APPRECIATION rate is new worth = original worth (1-r)^number of years
Question 22
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If the instantaneous rate of change is positive on the LEFT side of the turning point and negative on the RIGHT side of the turning point, it means that the turning point is a MINIMUM
Question 23
Question
If the instantaneous rate of change is negative on the left side of the turning point and positive on the right side of the turning point, it means that the turning point is a _________
Question 24
Question
What's the formula for finding an angle in radians?
Answer
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(arc length) / (radius)
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(radius) / (arc length)
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(arc length) / (radians)
Question 25
Question
Functions can only be combined if _____________
Question 26
Question
When combining functions, keep the _ values the same while applying the operations to the _ values
Question 27
Question
x^2+ rx + sx + c where r ◉ s = c and r + s = b
which polynomial am I factoring?
Answer
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complex trinomial
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simple trinomial
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complex binomial
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complex polynomial
Question 28
Question
(ax^2+bx+c where r ◉ s = ac and r + s = b) is used to factor a COMPLEX trinomial
Question 29
Question
How convert an angle in DEGREES to RADIANS? (180 D, 180 DOWN)
Question 30
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How to convert an angle in RADIANS to DEGREES? (180 R, 180 RISE)
Question 31
Question
select every true statement concerning sinusoidal functions. read your answers carefully.
Answer
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d is the starting point.
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a is the starting point.
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to find a, we use the formula: (maximum + minimum)/ (2)
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to find c, we use the formula: (maximum - minimum)/ (2)
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to find a, we use the formula: (maximum x minimum)/ (2)
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the amplitude is the length of one cycle.
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the period is the length of one cycle.
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(2pi)/ (period) is the formula used to find k.
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(period)/ (2pi) is the formula used to find k.
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(2pi) x (period) is the formula used to find k.
Question 32
Question
when the multiplicity of a factor is even, the graph ______
Answer
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crosses the x axis
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bounces off the axis
Question 33
Question
when the multiplicity of a factor is odd, the graph ______
Answer
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crosses the x axis
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bounces off the x axis
Question 34
Question
when it comes to the equation ( ax + b ) / ( cx + d), select every statement that is true.
Answer
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we can find its vertical asymptote by finding the x intercept of the denominator
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we can find its horizontal asymptote by dividing a/c
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we can find its x intercept by solving the numerator
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we can find its y intercept by setting x's of the equation to 0
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we can find its horizontal asymptote by dividing c/a
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we can find its vertical asymptote by finding the y intercept of the numerator
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we can find its x intercept by setting y's of the equation to 0
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we can find its x intercept by solving the denominator
Question 35
Question
in trigonometry, which functions are EVEN?
Question 36
Question
how do you determine the domain and range of this function?
Answer
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when a is negative: { YER l y < c }
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when a is positive: { YER l y > c }
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when k is positive: { XER l x > d}
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when k is negative: { XER l x < d }
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when k is negative: { XER l x > d }
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when a is positive: { YER l y < c }