Lesson%2025%20HW%20handout

Lesson%2025%20HW%20handout - MA153 JIN NOTE for HW 25 1....

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MA153 JIN NOTE for HW 25 1. Consider the quadratic function . (a) Express in the form . (Solution) (b) Find its vertex: (c) Find its x -intercept(s) (Solution) Plug 0 in . Then we get . Use Quadratic Formula to get . Since is not real, there is no real solution to the quadratic equation. i.e. no -intercepts!! ANSWER: none (d) Find its y -intercept(s): Plug 0 in , then you simply get . Hence the ANSWER is 2. 3. (a) Use the quadratic formula to find the zeros of . (Solution) Basically same concept as -intercepts. Plug 0 in , then we get Hence . ANSWER: (b) Find the maximum or minimum value of. (Solution) Since the coefficient of is negative, the parabola is concave down, and the coordinate of the vertex 1 is the maximum. ANSWER: max, 1 (c) Find the domain of: There is no restriction on (no denominator, no radical). Hence the domain is all real numbers. ANSWER: (d) Find the range of : Imagine the graph(parabola) of the function. Since the maximum is 1 and there is no minimum, the range is . ANSWER:
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Lesson%2025%20HW%20handout - MA153 JIN NOTE for HW 25 1....

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