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25 Cards in this Set
- Front
- Back
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volume
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area of base x height
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identity function
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y=x; slope of 1; y-intercept of 0
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constant function
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y=b; slope of 0; y-intercept of b
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quadratic functions
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y=ax^2+bx+c; axis of symmetry is x=(-b)/(2a)
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domain
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all real numbers
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when the highest power of the polynomial function is odd, if the coefficient on the highest power is positive,
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x->-8, f(x)->-8
x->8, f(x)->8 |
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when the highest power of the polynomial function is odd, if the coefficient on the highest power is negative,
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x->-8, f(x)->8
x->8, f(x)->-8 |
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when the highest power of the polynomial function is even, if the coefficient on the highest power is positive,
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x->-8, f(x)->8
x->8, f(x)->8 |
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when the highest power of the polynomial function is even, if the coefficient on the highest power is negative,
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x->-8, f(x)->-8
x->8, f(x)->-8 |
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horizontal asymptotes when highest power is in the numerator
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none
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horizontal asymptotes when highest power is in the denominator
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y=0
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horizontal asymptotes when powers in numerator and denominator are equal
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y= ratio of the coefficients of the highest power terms
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30 degrees
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(square root(3) / 2, 1/2); pi/6
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45 degrees
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(square root(2) / 2, square root(2) / 2); pi/4
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60 degrees
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(1/2, square root(3) / 2); pi/3
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90 degrees
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(0,1); pi/2
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terminal side
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hypotenuse
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initial side
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x
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s=
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r(theta)
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A=
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1/2 r^2 (theta); theta is in radians
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cos^2(theta) + sin^2(theta) =
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1
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1 + tan^2 (theta) =
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sec^2 (theta)
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cot^2 (theta) + 1 =
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csc^2 (theta)
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angle of elevation
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the angle measured from the horizontal upward to the object in question
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angle of depression
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angle measured from the horizontal downward to the object
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