Practice Exam 1 - that depicts these features(a y =-√ 3-x...

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Math 141 Monarres Practice Exam 1 February 13, 2007 1. Find all real numbers x that satisfy the following inequalities. Express the solution in interval notation. (a) - 14 x + 3 ≥ - 5 (b) 15 x + 2 < 2 (c) x 2 - 5 x - 6 x - 4 0 (d) x - 2 x + 5 3 (e) 16 x 2 25 (f) | - 4 x + 5 | ≥ 6 (g) 2 x - 1 x + 1 10 2. Find the equation for the following geometric objects. (a) The line with a slope of 1 5 that passes through the point ( - 5 , 1) (b) The line that is perpendicular to the line 4 x - 5 y = 3 and passes through the point (1 , 1). (c) The line that is parallel to the line 10 x - 2 y = 2 and passes through the point ( - 2 , 1). (d) The circle that is centered at the point ( - 3 , 1) and passes through the point (2 , 5). (e) The circle whose center is on the x-axis and passes through the points (3 , 0) and (7 , 0). 3. Find the domain,range, x and y intercepts, and the vertex of the following quadratic functions. Also sketch a graph that depicts these features. (a) y = x 2 - 4 x + 6 (b) y = 2 x 2 + 3 x + 5 (c) y = 2 x 2 - 12 x + 20 (d) y = - 2 x 2 + 3 x + 5 (e) y = - x 2 + 4 x - 6 4. Find the domain,range, and x and y intercepts of the following functions. Also sketch a graph
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Unformatted text preview: that depicts these features. (a) y =-√ 3-x 2 (b) y = √ 9-x 2 (c) y = √ 64-x 2 Math 141 Monarres Practice Exam 1 February 13, 2007 5. Alcohol is known to be a social lubricant, this problem will investigate the relationship between the number of beers drank per party and the number of “hook ups” one encounters per month. Let x be the number of beers drank per party, let h be the number of “hook ups per month” per “beers per party” and H be the number of hook ups per month. It has been observed that for every extra beer you drink per party that h will decrease by 2. Furthermore we know that h is equal to 5 when you only drink one beer per party. (a) (5 points) Find the equation that expresses the number of hook ups per month as a function of the number of beers drank per party. ( H as a function of x ) (b) There will be more parts but I will not give it away. Sorry....
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