College Algebra Exam 1 Review MATH 110 College Algebra Exam 1 Review
Jeopardy 100 200 300 400 500 Functions Odds & Evens Graphing Word Problems Potpourri 100 200 300 400 500
Odds & Evens 100 Determine whether each function is even, odd, or neither: Odd Even Neither
Odds & Evens 200 Given that L(x) is an odd function, complete the table of values: x -3 -2 -1 1 2 3 L(x) -6 -5 5 6 x -3 -2 -1 1 2 3 L(x) -6 5
Odds & Evens 300 A portion of the graph of the given function is shown. Determine whether the function is even or odd and use that fact to complete the graph. Even function
Odds & Evens 400 Given that f(x) is an even function and (-3,6) is a point on the graph of f(x), what point must also be on the graph of f(x)? (3,6) (3,-6) (-3,-6) (6,3)
Odds & Evens 500 Complete the graph below, so that the function is an odd function.
Graphing 100 Increasing Determine the intervals over which the function is positive, negative, increasing, and decreasing. Decreasing Decreasing (-3,1) (1,4) (-4,-3) (-4,-1) (-1,2.5) (2.5,4) Negative Positive Negative
Graphing 200 Determine a complete graph of the function:
Graphing 300 Approximate the zeros of the function below to the nearest 0.001. Draw a complete graph for the function as well. Zeros at x = 6.856, -6.856
Graphing 400 Draw an accurate graph of the function:
Graphing 500 The cost of first class postage in the US is a function of the weight of the letter. In 1995, letters that were 1 ounce or less cost 32 cents. Each additional ounce, or any fraction of an ounce, costs another 23 cents. Sketch a graph of this function for 0-5 ounces. $0.23
Functions 100 Given the function Simplify State the domain of f Answer: a) b) [0,2) U (2,∞)
Functions 200 Given the function Determine the zeros of h State the domain of h Answer: a) zero at x = 13 b) x ≥ 4
Functions 300 Given the function Determine the zeros & domain of L Simplify Answer: a) Zero at x = 3; Domain x ≠ 0 b) 18k - 8
Functions 400 The graph of f(x) is shown to the right. State the domain and range of f(x) Determine f(0) and f(-2) Answer: a) D:[-4,∞) R: [-4.5,∞) b) f(0) = -4 ; f(-2) = -4
Functions 500 Which of the following express y as a function of x? Answer: None of them X 1 2 4 Y 3 -2
Word Problems 100 A rectangle has an area of 30 square feet. Determine the length of the diagonal D as a function of the width w. Answer:
Word Problems 200 A video store rents 280 movies a day for a charge of $2.75 per movie, but plans to increase the charge. A survey of other stores indicates that each $0.25 increase lowers daily rentals by 30. Express the daily revenue of the video store in terms of the number of videos x rented. Answer:
Word Problems 300 A tire company currently sells 3200 tires a month at a selling price of $32. Past experience indicates that for each $3 increase in the selling price, the monthly sales will decrease by 500. Express the monthly revenues of the company in terms of the number of tires sold x. Answer:
Word Problems 400 An oil can in the shape of a right circular cylinder is to be constructed from two materials: one for the top and bottom and one for the sides. The volume of the can is to be 60 cubic inches. The cost for the top and bottom is $0.15 per square inch, and the cost for the sides is $0.09 per square inch. Express the total cost for the can in terms of the radius. Answer:
Word Problems 500 A rectangular swimming pool is to be built with an area of 1800 square feet. The owner wants 5-foot wide decks along either side and 10-foot wide decks at the two ends. Express the area of the property such a pool is to built on in terms of its length. Answer:
Potpourri 100 Given the function Simplify Answer:
Potpourri 200 Express the area of a circle as a function of its circumference. Answer:
Potpourri 300 State the domain of each function: Answer: Domain of f x ≥ -2 ; Domain of g x ≠ -3 or 2
Potpourri 400 A 24 inch wire is cut into 4 pieces to form a rectangle whose shortest side has length x. Express the area of this rectangle as a function of x. Answer:
Potpourri 500 Find the domain of Answer: Domain 0 ≤ x < 3