REVIEW STATION 1 (Functions) 1. Find the domain of x 1 10 x 13x 3 2 2. Determine whether the equation defines y as a function of x (Yes or No) 3 y=x 3. For f(x) = 3x 3 – 2x 2 – 6 and g(x) = x 2 + 3, determine the following: g ( x h) g ( x ) a) f – g b) f g c) the difference quotient: h REVIEW STATION 2 (Distance and Midpoint) 1. Use the midpoint formula to determine the other endpoint if (6, 2) is the endpoint of a line segment and (1, -1/2) is the midpoint. 2 2. What is (3 2 ) ? 3. Find all points having x coordinate of 9 whose distance from point (3, -2) is 10 4. The medians of a triangle are the line segments from each vertex to the midpoint of the opposite side (see the figure). Find the equation of the line segment ON in slope intercept form. A = (0, 0) B = (6, 0) C = (4, 4) N A B O 5. Find all points on the x-axis that are 5 units away from (-1, 3) 6. Show if the points A (3, 4) , B(1, 1) and C (-2, 3) are the vertices of an isosceles triangle. REVIEW STATION 3 (Lines and circles) 1. a) b) c) Suppose (-3, -2) and (3, 6) are the endpoints of the diameter or a circle Find the distance between the 2 points. Find the midpoint of the line connecting the 2 points. Find the general form equation of the circle containing the 2 points 2. Determine the a) standard form and b) general form equation of a circle with center (4, 3) that is tangent to the x-axis. 3. Determine the equation of the line perpendicular to 2y – 4x = 6 containing the point (1, -2) and express in a) slope-intercept form b) point-slope form c) general form 4. Find the coordinates (x, y) of all intercepts -4x + 5y = 40 5. Solve by completing the square using no decimals, and showing all work: x 2 + 5x + 3 = 0 REVIEW STATION 4 - (Functions and circles) 1. Determine f(x – 3) when f(x) = 3x 2 + 2x -1 2. Is y a function of x? y 2 = 4 - x 2 1 x 1 f and ( )(x) = 2 , a) find the function g (what is g?) and x x x g f b)what is the domain of ( )(x)? g 4. Find the equation of the lines in slope-intercept form that connects the centers of the 2 given circles: 3. Given f(x) = x 2 + y 2 + 4x – 4y – 1 = 0 and x 2 + y 2 – 6x + 2y + 9 = 0 5. For f(x) = x2 , determine f(-3) x 2x 5 2 6. Determine the intercepts of y = 3x 2 + 14x – 5 REVIEW STATION 5 - (Functions) 1. Find the difference quotient of f(x) = -2x 2 + x + 1 f ( x h) f ( x ) Difference Quotient : h 2 2. f(x) = -3x + 5x a) Is the point (-1, 2) on the graph of f(x)? b) If x = -2, what is f(x)? What is the POINT on the graph of f? c) If f(x) - -2, what is x? What point(s) are on the graph of f? d) What is the domain of f? e) List the x-intercepts, if any, on the graph of f f) List the y-intercepts, if any, on the graph of f 3. Find the domain of x2 1 x2 9 4. Factoring review (yes! You may see one of these on the test!)….Factor completely, simplify your answer, but leave in factored form: 2(3x+4) 2 + 6(3x + 4)(2x +3) 5. Simplify: 4 x9 y 7 xy 3 REVIEW STATION 6 - (Mixed Review) 1. Determine whether each relation represents a function: a) { (2, 6), (-3, 6), (4, 9), (2, 10)} b) { (-4, 4), (-3, 3), (-2, 2), (-1, 1), (-4, 0)} 2x 3 4x and g(x) = 3x 2 3x 2 a) find f – g AND state the domain f b) find AND state the domain g 3. State the domains of these functions: 2. f(x) = 3x 12 a) 3 b) x 2 x 1 4. Give the equation of a) the vertical line and b) the horizontal line passing through the point (-3, 2). List the slope of each line. 2 REVIEW STATION 7 (Mixed Review) 1. f(x) = 2x 2 – 3x, evaluate for the difference quotient: f ( x h) f ( x ) h 2. Determine f(x – 1) when f(x) = 5x 2 + 2x -1 3. Find the domain of 4x 2 2x 1 3x 2 2x - 5 4. For f(x) = , find x2 a) the coordinates (x, y) of all intercepts b) value(s) of x to make f(x) = 8 2 5. What is (2 5 ) ? 6. If a right triangle has c = 8 and b = 5, what is a?

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