Name:____________________ Math 0310 Activity 1



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Name:___________________________ Math 1314 Test 1(Due no later than 10PM, Sep, 18)

(Show your work!)

Solve the following polynomial equations by factoring.(1-2)

1. [pic] {Start by factoring out [pic].} 2. [pic] {Grouping}

Solve the following equation by completing the square.

3. [pic] {Don’t forget to divide by 3!}

Solve the following equations using the quadratic formula.(4-5)[pic]

4. [pic] 5. [pic]

Bonus#1: Find all the values of k so that the equation [pic] has exactly one solution.

Solve the following radical equations.(6-7) Check your answers.

6. [pic] 7. [pic] {Isolate the radical first.}

Bonus#2: Solve the equation [pic].

Solve the following quadratic-like equations.(8-9)

8.[pic]

9. [pic]

Solve the following absolute value equations.(10-11)

10. [pic] 11. [pic]

Solve the following absolute value inequalities, and express the solution using interval notation, if possible.(12-13)

12. [pic]

13. [pic]

14. Evaluate the function [pic] at the indicated value. Show work!

a) [pic] b) [pic] c) [pic] d) [pic]

Bonus#3: Solve the equation [pic], where [pic] is the function defined in problem #14.

Use the vertical line test to determine if the graph is of a function of x.(15-16)

15. 16.

Determine if the following functions are even, odd, neither, or both, and tell why.(17-19)

Show work/calculation!

17. [pic] 18. [pic]

19. [pic]

Bonus#4: Determine if the function [pic] is even, odd, neither, or both.

20. Use the given graph of the function f on the interval [pic] to determine the following:

Use interval notation,

where appropriate!

a) The domain of f b) The range of f c) The x-intercepts d) The y-intercept

e) The intervals where f is increasing f) The intervals where f is decreasing

g) The intervals where f is constant h) Where f has local maxima

i) Where f has local minima j) [pic] k) [pic]

l) [pic] m) [pic] n) The solution(s) of the equation [pic]

Bonus#5: Solve the inequality [pic], where f is the function defined in problem #20, using interval notation.

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[pic]

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