quiz (fonctions avancées)

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Davina Mukundi
Test por Davina Mukundi, actualizado hace más de 1 año
Davina Mukundi
Creado por Davina Mukundi hace alrededor de 3 años
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Resumen del Recurso

Pregunta 1

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

Pregunta 2

Pregunta
For transformations, what happens when a > 1?
Respuesta
  • vertical stretch by a
  • vertical compression by a

Pregunta 3

Pregunta
For transformations, what happens when k > 1
Respuesta
  • horizontal compression by 1/k
  • horizontal stretch by 1/k

Pregunta 4

Pregunta
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.
Respuesta
  • True
  • False

Pregunta 5

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

Pregunta 6

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

Pregunta 7

Pregunta
This equation corresponds with
Respuesta
  • log (b) x = y
  • log (b) y = x
  • log (x) b = y
  • log (y) x = b

Pregunta 8

Pregunta
Both equations equal
Respuesta
  • a
  • log
  • x

Pregunta 9

Pregunta
How do you calculate log (a) x?
Respuesta
  • (log x)/(log a)
  • (log a)/(log x)

Pregunta 10

Pregunta
How is this equation calculated?
Respuesta
  • ln (98)/ ln (12) = x
  • ln (12)/ ln (98) = x

Pregunta 11

Pregunta
125^(2x) corresponds with
Respuesta
  • 2 ln 125
  • 125 ln 2
  • 21 ln 25

Pregunta 12

Pregunta
This equation corresponds with
Respuesta
  • (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

Pregunta 13

Pregunta
How do you calculate this equation?
Respuesta
  • (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))

Pregunta 14

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

Pregunta 15

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

Pregunta 16

Pregunta
select every true statement
Respuesta
  • 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

Pregunta 17

Pregunta
this formula helps find the __________
Respuesta
  • instantaneous rate of change
  • the average rate of change

Pregunta 18

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

Pregunta 19

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

Pregunta 20

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

Pregunta 21

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

Pregunta 22

Pregunta
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
Respuesta
  • True
  • False

Pregunta 23

Pregunta
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 _________
Respuesta
  • minimum
  • maximum

Pregunta 24

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

Pregunta 25

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

Pregunta 26

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

Pregunta 27

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

Pregunta 28

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

Pregunta 29

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

Pregunta 30

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

Pregunta 31

Pregunta
select every true statement concerning sinusoidal functions. read your answers carefully.
Respuesta
  • 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.

Pregunta 32

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

Pregunta 33

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

Pregunta 34

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

Pregunta 35

Pregunta
in trigonometry, which functions are EVEN?
Respuesta
  • cot
  • tan
  • sin
  • csc
  • sec
  • cos

Pregunta 36

Pregunta
how do you determine the domain and range of this function?
Respuesta
  • 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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