quiz (fonctions avancées)

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read answers CAREFULLY.
Davina Mukundi
Quiz von Davina Mukundi, aktualisiert more than 1 year ago
Davina Mukundi
Erstellt von Davina Mukundi vor fast 4 Jahre
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Zusammenfassung der Ressource

Frage 1

Frage
How do you find the real roots of the following equation?
Antworten
  • by cross multiplying
  • by multiplying the two terms by both denominators

Frage 2

Frage
For transformations, what happens when a > 1?
Antworten
  • vertical stretch by a
  • vertical compression by a

Frage 3

Frage
For transformations, what happens when k > 1
Antworten
  • horizontal compression by 1/k
  • horizontal stretch by 1/k

Frage 4

Frage
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.
Antworten
  • True
  • False

Frage 5

Frage
If d is positive in the general transformed form that means ______________
Antworten
  • d is negative and moves the graph to the left
  • d is positive and moves the graph to the right

Frage 6

Frage
How do you find the real roots of this equation?
Antworten
  • by multiplying both sides by x (b-x)
  • by cross multiplying
  • by factoring out the gcf

Frage 7

Frage
This equation corresponds with
Antworten
  • log (b) x = y
  • log (b) y = x
  • log (x) b = y
  • log (y) x = b

Frage 8

Frage
Both equations equal
Antworten
  • a
  • log
  • x

Frage 9

Frage
How do you calculate log (a) x?
Antworten
  • (log x)/(log a)
  • (log a)/(log x)

Frage 10

Frage
How is this equation calculated?
Antworten
  • ln (98)/ ln (12) = x
  • ln (12)/ ln (98) = x

Frage 11

Frage
125^(2x) corresponds with
Antworten
  • 2 ln 125
  • 125 ln 2
  • 21 ln 25

Frage 12

Frage
This equation corresponds with
Antworten
  • (5 ln (8))/(3 ln (8) - (6 ln (3)) = x
  • (3 ln (8))/(6 ln (3)) - (5 ln (8)) = x
  • (6 ln (3))/(5 ln (8) - (3 ln (8)) = x

Frage 13

Frage
How do you calculate this equation?
Antworten
  • (5 ln (8)) + (7 ln (3))/(3 ln (8)) - (6 ln (3))
  • (5 ln (8)) + (3 ln (8))/(7 ln (3))- (6 ln (3))
  • (5 ln (8)) - (7 ln (3))/(3 ln (8)) + (6 ln (3))

Frage 14

Frage
(3^5 - 1) ⚫ 3^x = 177 876 corresponds with the equation in the image
Antworten
  • yes.
  • no, it's (3^5 + 1) ⚫ 3^x = 177 876

Frage 15

Frage
if we factor 8^(x+7) - 8^x, you get (8^7 -1) ⚫ 8^x
Antworten
  • True
  • False

Frage 16

Frage
select every true statement
Antworten
  • f(x) =/= f(-x) =/= -f(x) → f(x) is neither
  • f(x) = f(-x) → f(x) is even
  • f(-x) = -f(x) →f(x) is odd
  • f(-x) = -f(x) →f(x) is neither
  • f(x) =/= f(-x) =/= -f(x) → f(x) is even
  • f(x) = f(-x) → f(x) is odd

Frage 17

Frage
this formula helps find the __________
Antworten
  • instantaneous rate of change
  • the average rate of change

Frage 18

Frage
How do you find the instantaneous rate of change?
Antworten
  • by using ( f(x + 0.0001) + f (x) ) / 0.0001
  • by using ( f (x2) - f (x1) ) / (x2) - (x1)

Frage 19

Frage
Given that f(x)=x+1 and g(x)= 7x^2+11x−9 what would the equation for g (o) f be?
Antworten
  • 7(x + 1) ^2+11(x + 1) − 9
  • (7x^2+11x−9 ) + 1

Frage 20

Frage
How do you calculate a DEPRECIATION rate?
Antworten
  • new worth = original worth (1-r)^(number of years)
  • new worth = original worth (1+r)^(number of years)

Frage 21

Frage
the formula used to find an APPRECIATION rate is new worth = original worth (1-r)^number of years
Antworten
  • True
  • False

Frage 22

Frage
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
Antworten
  • True
  • False

Frage 23

Frage
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 _________
Antworten
  • minimum
  • maximum

Frage 24

Frage
What's the formula for finding an angle in radians?
Antworten
  • (arc length) / (radius)
  • (radius) / (arc length)
  • (arc length) / (radians)

Frage 25

Frage
Functions can only be combined if _____________
Antworten
  • they have a common domain
  • they have a common range
  • they have a common degree
  • they have common graph

Frage 26

Frage
When combining functions, keep the _ values the same while applying the operations to the _ values
Antworten
  • x, y
  • y, x

Frage 27

Frage
x^2+ rx + sx + c where r ◉ s = c and r + s = b which polynomial am I factoring?
Antworten
  • complex trinomial
  • simple trinomial
  • complex binomial
  • complex polynomial

Frage 28

Frage
(ax^2+bx+c where r ◉ s = ac and r + s = b) is used to factor a COMPLEX trinomial
Antworten
  • True
  • False

Frage 29

Frage
How convert an angle in DEGREES to RADIANS? (180 D, 180 DOWN)
Antworten
  • angle in degrees x (180/π) = angle in radians
  • angle in degrees x (π/180) = angle in radians

Frage 30

Frage
How to convert an angle in RADIANS to DEGREES? (180 R, 180 RISE)
Antworten
  • angle in radians x (180/π) = angle in degrees
  • angle in radians x (π/180) = angle in degrees

Frage 31

Frage
select every true statement concerning sinusoidal functions. read your answers carefully.
Antworten
  • d is the starting point.
  • a is the starting point.
  • to find a, we use the formula: (maximum + minimum)/ (2)
  • to find c, we use the formula: (maximum - minimum)/ (2)
  • to find a, we use the formula: (maximum x minimum)/ (2)
  • the amplitude is the length of one cycle.
  • the period is the length of one cycle.
  • (2pi)/ (period) is the formula used to find k.
  • (period)/ (2pi) is the formula used to find k.
  • (2pi) x (period) is the formula used to find k.

Frage 32

Frage
when the multiplicity of a factor is even, the graph ______
Antworten
  • crosses the x axis
  • bounces off the axis

Frage 33

Frage
when the multiplicity of a factor is odd, the graph ______
Antworten
  • crosses the x axis
  • bounces off the x axis

Frage 34

Frage
when it comes to the equation ( ax + b ) / ( cx + d), select every statement that is true.
Antworten
  • we can find its vertical asymptote by finding the x intercept of the denominator
  • we can find its horizontal asymptote by dividing a/c
  • we can find its x intercept by solving the numerator
  • we can find its y intercept by setting x's of the equation to 0
  • we can find its horizontal asymptote by dividing c/a
  • we can find its vertical asymptote by finding the y intercept of the numerator
  • we can find its x intercept by setting y's of the equation to 0
  • we can find its x intercept by solving the denominator

Frage 35

Frage
in trigonometry, which functions are EVEN?
Antworten
  • cot
  • tan
  • sin
  • csc
  • sec
  • cos

Frage 36

Frage
how do you determine the domain and range of this function?
Antworten
  • when a is negative: { YER l y < c }
  • when a is positive: { YER l y > c }
  • when k is positive: { XER l x > d}
  • when k is negative: { XER l x < d }
  • when k is negative: { XER l x > d }
  • when a is positive: { YER l y < c }
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