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How do you find the real roots of the following equation?
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For transformations, what happens when a > 1?
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For transformations, what happens when k > 1
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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.
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If d is positive in the general transformed form that means ______________
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How do you find the real roots of this equation?
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This equation corresponds with
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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
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Both equations equal
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How do you calculate log (a) x?
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(log x)/(log a)
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(log a)/(log x)
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How is this equation calculated?
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ln (98)/ ln (12) = x
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ln (12)/ ln (98) = x
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125^(2x) corresponds with
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2 ln 125
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125 ln 2
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21 ln 25
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This equation corresponds with
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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
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How do you calculate this equation?
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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))
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(3^5 - 1) ⚫ 3^x = 177 876 corresponds with the equation in the image
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if we factor 8^(x+7) - 8^x, you get (8^7 -1) ⚫ 8^x
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select every true statement
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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
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this formula helps find the __________
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How do you find the instantaneous rate of change?
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Given that f(x)=x+1 and g(x)= 7x^2+11x−9 what would the equation for g (o) f be?
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How do you calculate a DEPRECIATION rate?
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the formula used to find an APPRECIATION rate is new worth = original worth (1-r)^number of years
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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
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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 _________
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What's the formula for finding an angle in radians?
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(arc length) / (radius)
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(radius) / (arc length)
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(arc length) / (radians)
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Functions can only be combined if _____________
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When combining functions, keep the _ values the same while applying the operations to the _ values
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x^2+ rx + sx + c where r ◉ s = c and r + s = b
which polynomial am I factoring?
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complex trinomial
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simple trinomial
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complex binomial
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complex polynomial
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(ax^2+bx+c where r ◉ s = ac and r + s = b) is used to factor a COMPLEX trinomial
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How convert an angle in DEGREES to RADIANS? (180 D, 180 DOWN)
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How to convert an angle in RADIANS to DEGREES? (180 R, 180 RISE)
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select every true statement concerning sinusoidal functions. read your answers carefully.
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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.
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when the multiplicity of a factor is even, the graph ______
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crosses the x axis
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bounces off the axis
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when the multiplicity of a factor is odd, the graph ______
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crosses the x axis
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bounces off the x axis
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when it comes to the equation ( ax + b ) / ( cx + d), select every statement that is true.
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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
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in trigonometry, which functions are EVEN?
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how do you determine the domain and range of this function?
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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 }