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Davina Mukundi
Quiz by Davina Mukundi, updated more than 1 year ago
Davina Mukundi
Created by Davina Mukundi about 3 years ago
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Resource summary

Question 1

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

Question 2

Question
For transformations, what happens when a > 1?
Answer
  • vertical stretch by a
  • vertical compression by a

Question 3

Question
For transformations, what happens when k > 1
Answer
  • horizontal compression by 1/k
  • horizontal stretch by 1/k

Question 4

Question
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.
Answer
  • True
  • False

Question 5

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

Question 6

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

Question 7

Question
This equation corresponds with
Answer
  • log (b) x = y
  • log (b) y = x
  • log (x) b = y
  • log (y) x = b

Question 8

Question
Both equations equal
Answer
  • a
  • log
  • x

Question 9

Question
How do you calculate log (a) x?
Answer
  • (log x)/(log a)
  • (log a)/(log x)

Question 10

Question
How is this equation calculated?
Answer
  • ln (98)/ ln (12) = x
  • ln (12)/ ln (98) = x

Question 11

Question
125^(2x) corresponds with
Answer
  • 2 ln 125
  • 125 ln 2
  • 21 ln 25

Question 12

Question
This equation corresponds with
Answer
  • (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

Question 13

Question
How do you calculate this equation?
Answer
  • (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))

Question 14

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

Question 15

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

Question 16

Question
select every true statement
Answer
  • 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

Question 17

Question
this formula helps find the __________
Answer
  • instantaneous rate of change
  • the average rate of change

Question 18

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

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?
Answer
  • 7(x + 1) ^2+11(x + 1) − 9
  • (7x^2+11x−9 ) + 1

Question 20

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

Question 21

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

Question 22

Question
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
Answer
  • True
  • False

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 _________
Answer
  • minimum
  • maximum

Question 24

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

Question 25

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

Question 26

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

Question 27

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

Question 28

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

Question 29

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

Question 30

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

Question 31

Question
select every true statement concerning sinusoidal functions. read your answers carefully.
Answer
  • 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.

Question 32

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

Question 33

Question
when the multiplicity of a factor is odd, the graph ______
Answer
  • crosses the x axis
  • 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
  • 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

Question 35

Question
in trigonometry, which functions are EVEN?
Answer
  • cot
  • tan
  • sin
  • csc
  • sec
  • cos

Question 36

Question
how do you determine the domain and range of this function?
Answer
  • 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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