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# College Algebra Exam 1 Study Guide (1.1-1.4) MAC1105

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This 3 page Study Guide was uploaded by Cassandra F. on Saturday September 10, 2016. The Study Guide belongs to MAC1105 at University of South Florida taught by Mr. Rothstein in Fall 2016. Since its upload, it has received 71 views. For similar materials see College Algebra in College Algebra at University of South Florida.

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Date Created: 09/10/16

1.1 • Know that quadrants go counter-clockwise from 1 to 4 • Know how to ﬁnd the distance between 2 points and the midpoint of a line • Determine whether 3 points are collinear. • Graphing equations like y=4x+7 • Finding x and y intercepts looking at graph • Finding x and y intercepts w/ out sketching graph. (Let y=0 to ﬁnd x-int and let x=0 to ﬁnd y-int) • Finding center and radius of a circle by looking at an equation like... • Writing standard form equation if a circle given center and radius... • Find the standard form equation of a circle with endpoints of a diameter at the points (9,4) and (-1,2). 1. Find the midpoint of the given points which is (4,3) 2. Then use distance formula to ﬁnd distance from (4,3) to one of the points given in the problem. We'll just use (9,4) 3. The distance b/w (4,3) and (9,4) is 4. Final answer: • Find center and radius of a circle by regrouping and completing the square. 1.2 • Find slope of line perpendicular to the slope given. • Find slope of a line with given points. (use slope formula) • Find slope of line by looking at a graph. • Find equation in slope intercept form. • Find equation if a line with the given pair of points. 1. Find the slope of the points. 2. Then use point slope equation. 3. Final answer: • Find equation of line vertical through (1,3). Answer---> x=1 • Write slope-intercept equation of the function f whose graph satisﬁed the given conditions... Graph passes through (-5,-6) and is perpendicular to line whose equation is x= -10 Final answer---> f(x)= -6 • Decide whether lines are perpendicular, parallel, or neither. Line through (-9,4) and (2,-1) Line through (-1,2) and (4,13) 1. Find the slopes for each pair of points which are.. 2. The lines are perpendicular. If they were parallel, then they would have the same slope. • Rewrite given in equation in slope-intercept form. • The slope of a horizontal line is zero. The slope of a vertical line is undeﬁned. 1.3 • For a relation to be a function, each x can only have one y • Determine whether equations are functions. • Find the domain. • Vertical line test • Finding the average rate of change. 1.4 • Determine if a function is even, odd, or neither • Find the intervals over which a function is increasing, decreasing, or constant. (When looking at an equation like f(x)=2x-3 you should graph the equation ﬁrst and then you will be able to see where it increases and decreases or is constant) • Determine algebraically whether the given function is even, odd, or neither. Substitute x for -x. After substituting, the function is is neither. • Find domain and range of a function, intercepts, where it's increasing/ decreasing/constant, whether if function is even, odd, or neither.

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