1. Jeopardy
Hosted by
Mrs. Mann

2. Graph Behavior
Exp/Log Functions
Trig Functions
Variety
100
100
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100
200
200
200
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300
300
300
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400
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500
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500

3. Is f(x) = x2 + 1 a one-to-one function?
No – it doesn’t pass the horizontal line test.
Is f(x) = x2 + 1 a one-to-one function?
Row 1, Col 1

4. 3
Evaluate log103
1,2

5. Evaluate the trigonometric
1/2
Evaluate the trigonometric
expression sin(π/6).
1,3

6. How do you show algebraically that two functions are inverses?
Show f(g(x))=g(f(x))=x
How do you show algebraically that two functions are inverses?
1,4

7. What is the right end behavior of the graph of f(x) = -x2 + 3x?
limx∞f(x)= - ∞
What is the right end behavior of the graph of f(x) = -x2 + 3x?
2,1

8. 1/2
Evaluate log366.
2,2

9. Quadrant 4
In what quadrant are values of sin(θ) negative and values of cos(θ) positive?
2,3

10. 531441
Simplify (815/2)(9)
2,4

11. 23
Find the average rate of change of f(x) = 3x2 + 2x – 1 on the interval [2, 5].
3,1

12. Solve for x. log62x + log63 = log612
3,2

13. Find the value of the missing sides in the triangle below.
3,3

14. Show algebraically whether f(x) = cos(x) is even, odd, or neither.
Even: cos(-x)=cos(2π-x)=cos(x)
Show algebraically whether f(x) = cos(x) is even, odd, or neither.
3,4

15. Increasing: (-∞, -2.8) and (0, ∞)
Decreasing: (-2.8, 0)
Estimate the intervals where f(x) = x3 + 4x2 is increasing, decreasing, or constant.
4,1

16. 20
Solve log(5x)=2
4,2

17. Evaluate the trigonometric expression tan(4π/3).√3
Evaluate the trigonometric expression tan(4π/3).
4,3

18. An adult takes 450mg of ibuprofen. Each hour, the amount of ibuprofen
4.09 hours
An adult takes 450mg of ibuprofen.
Each hour, the amount of ibuprofen
in the person’s system decreases
by about 18%. How long until there are less than 200mg in the body?
4,4

19. Estimate and classify all extrema of f(x)=x4 – 3x3 + x.
Relative minimum: (-0.4, -0.2)
Relative maximum: (0.4, 0.2)
Absolute minimum: (2.2, -6.3)
Estimate and classify all
extrema of f(x)=x4 – 3x3 + x.
5,1

20. Find the exponential function that passes through the points (1, 7)
y = (1.20)(5.86)x
Find the exponential function that
passes through the points (1, 7)
and (2, 41). Round values to the
nearest hundredth.
5,2

21. Find the domain and range of
f(x) = cos(x).
5,3

22. Find the inverse of f(x)=2x2+7. Restrict the domain of the original
Restrict domain of f to x≥0
f-1(x) = √((x-7)/2)
Find the inverse of f(x)=2x2+7.
Restrict the domain of the original
and/or inverse function, if necessary.
5,4