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Review (4.3 - 5.4)

# Review (4.3 - 5.4) - Unit 3 Review Show all possible work 1...

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Unit 3 Review Show all possible work 1. Find the [a] vertex and [b] axis of symmetry of the graph of 1. a. Vertex:  ___________ . ( 29 7 4 8 2 - - = a x x f [c] Does it have a minimum or maximum; if so which? b. Axis of Sym: _____ c. _________________ 2. Graph the quadratic function f(x) = x 2 + 4x + 7 by determining whether the graph opens up or down _______ and by finding its vertex ___________ axis of symmetry ___________, x- and y-intercepts, if any, ___________ -7 -6 -5 -4 -3 -2 -1 1 2 3 -3 -2 -1 1 2 3 4 5 6 7 8 9 10 11 12 13 x y 3. The graph of f(x) = ax 2 + bx +c has its vertex at (5, -4) and passes through 3. a = ____ the point (-2, 94). Find the values of a, b, and c. b = ____ c = ____ 4. Which of the following is not a polynomial? 4. _______ [A] x - - 2 2 [B] x x - + 2 2 9 [C] - π [D] x - 2

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Use the graph below [f(x) = - ½ x 2 + 1; g(x) = x – 3] to answer questions 5 and 6. 5. Find f(x) g(x) 5. ______________ 6. Find f(x) < -1 6. ______________ 7. Graph the function ( 29 ( 29 = - - - f x x 4 4 1 7. _______ [A] [B] [C] [D] 8 For ( 29 ( 29 ( 29 ( 29 = - + + + f x x x x 2 2 1 5 3 2 1 3 , find the power function, maximum turning points, the real zeros, and whether the graph touches or crosses at the x-axis. a. What is the power function? 8. a. _______ b. What is the maximum number of turning points? b. _______ c. What is the end behavior of the graph as x →±∞? c. _______ [a] Both ends approach +∞. [b] y → +∞ to the right and -∞ to the left.
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Review (4.3 - 5.4) - Unit 3 Review Show all possible work 1...

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