quiz (fonctions avancées)

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read answers CAREFULLY.
Davina Mukundi
Quiz por Davina Mukundi, atualizado more than 1 year ago
Davina Mukundi
Criado por Davina Mukundi quase 4 anos atrás
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Resumo de Recurso

Questão 1

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

Questão 2

Questão
For transformations, what happens when a > 1?
Responda
  • vertical stretch by a
  • vertical compression by a

Questão 3

Questão
For transformations, what happens when k > 1
Responda
  • horizontal compression by 1/k
  • horizontal stretch by 1/k

Questão 4

Questão
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.
Responda
  • True
  • False

Questão 5

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

Questão 6

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

Questão 7

Questão
This equation corresponds with
Responda
  • log (b) x = y
  • log (b) y = x
  • log (x) b = y
  • log (y) x = b

Questão 8

Questão
Both equations equal
Responda
  • a
  • log
  • x

Questão 9

Questão
How do you calculate log (a) x?
Responda
  • (log x)/(log a)
  • (log a)/(log x)

Questão 10

Questão
How is this equation calculated?
Responda
  • ln (98)/ ln (12) = x
  • ln (12)/ ln (98) = x

Questão 11

Questão
125^(2x) corresponds with
Responda
  • 2 ln 125
  • 125 ln 2
  • 21 ln 25

Questão 12

Questão
This equation corresponds with
Responda
  • (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

Questão 13

Questão
How do you calculate this equation?
Responda
  • (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))

Questão 14

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

Questão 15

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

Questão 16

Questão
select every true statement
Responda
  • 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

Questão 17

Questão
this formula helps find the __________
Responda
  • instantaneous rate of change
  • the average rate of change

Questão 18

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

Questão 19

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

Questão 20

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

Questão 21

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

Questão 22

Questão
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
Responda
  • True
  • False

Questão 23

Questão
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 _________
Responda
  • minimum
  • maximum

Questão 24

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

Questão 25

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

Questão 26

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

Questão 27

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

Questão 28

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

Questão 29

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

Questão 30

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

Questão 31

Questão
select every true statement concerning sinusoidal functions. read your answers carefully.
Responda
  • 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.

Questão 32

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

Questão 33

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

Questão 34

Questão
when it comes to the equation ( ax + b ) / ( cx + d), select every statement that is true.
Responda
  • 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

Questão 35

Questão
in trigonometry, which functions are EVEN?
Responda
  • cot
  • tan
  • sin
  • csc
  • sec
  • cos

Questão 36

Questão
how do you determine the domain and range of this function?
Responda
  • 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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