Calculus Quiz 1
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Last updated 7:16 PM on 2/9/23
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31 Terms
1
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x^2
2
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x^3
3
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x^4
4
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2^x
5
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e^x
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1/x
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1/x^2
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Sin(x)
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Cos(x)
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Tan(x)
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Even or odd: x^2
Even
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Even or odd: x^3
Odd
13
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Even or odd: x^4
Even
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Even or odd: 2^x
Neither
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Even or odd: e^x
Neither
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Even or odd: 1/x
Odd
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Even or odd: 1/x^2
Even
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Even or odd: Sinx
Odd
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Even or odd: Cosx
Even
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Even or odd: Tanx
Odd
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Important points: x^2, x^3, x^4
Y and X intercepts are all (0,0)
Graph intersections: x^2 and x^4 intersect at (0,0) (1,1) (-1,1). All of them intersect at (1,1) (0,0)
Graph intersections: x^2 and x^4 intersect at (0,0) (1,1) (-1,1). All of them intersect at (1,1) (0,0)
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Important points: 2^x an e^x
Y-intercepts for both: (0,1)
Graph intersections: (0,1)
Graph intersections: (0,1)
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Important points: 1/x and 1/x^2
No y or x intercepts
Graph intersections: (1,1)
Graph intersections: (1,1)
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Important points: Sinx and Cosx
Y-intercept for sinx: (0,0)
Y-intercept for cosx: (0,1)
X-intercept for sinx: (0,0) (pi, 0) (-pi, 0)
X-intercept for cosx: (pi/2, 0) (-pi/2, 0)
Graph intersections: (pi/4 + 2pin, square root of 2/2) (pi/4 + 2pin, - square root of 2/2)
Y-intercept for cosx: (0,1)
X-intercept for sinx: (0,0) (pi, 0) (-pi, 0)
X-intercept for cosx: (pi/2, 0) (-pi/2, 0)
Graph intersections: (pi/4 + 2pin, square root of 2/2) (pi/4 + 2pin, - square root of 2/2)
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Important points: Tanx
Y-intercept: (0,0)
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Domain of 1/x^2 inverse
\[0, infinty)
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Domain and Range of Sinx
Range: \[-1, 1\]
Domain: \[-pi/2, pi/2\]
Domain: \[-pi/2, pi/2\]
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Domain and Range of Cosx
Range: \[-1,1\]
Domain: \[0, pi\]
Domain: \[0, pi\]
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Domain and Range of Tanx
Range: (-infinity, infinity)
Domain: \[-pi/2, pi/2\]
Domain: \[-pi/2, pi/2\]
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How to solve for C\*b^t and Ae^kt
1. y=ab^x
2. A=C to make C\*b^t
3. Solve for k in Ae^kt
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Inverse for 2^e
log base 2 of x