F x x 1 x
[DOC File]Parent Function Worksheet 1
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15. g(x) = 3(x-1)2 – 6. 16. h(x) = 17. f(x) = 18. Given the parent function and a description of the transformation, write the equation of the transformed function, f(x). Identify the domain and range of the function. Absolute value—vertical shift up 5, horizontal shift right 3. Radical—vertical compression by Cubic—reflected over the x ...
[DOC File]Function notation Worksheet
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x f(x) -6 -3 0 1 -5 3. Given . Fill in the table and then sketch a graph. x f(x) 3 0 -10 -5 6 4. Translate the following statements into coordinate points. a. f(–1) = 1. b. f(2) = 7. c. f(1) = –1. d. f(3) = 0. 5. Given this graph of the function f(x): Find: a. f(–4) = b. f(0) = c. f(3) = d. f(-5) = e. x when f(x) = 2 f. x when f(x) = -2
[DOC File]AP Calculus Free-Response Questions
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126. Let f be a function such that f(x) < 1 and f( (x) < 0 for all x. a. Suppose that f(b) = 0 and a < b < c. Write an expression involving integrals for the area of the region . enclosed by the graph of f, the lines x = a and x = c, and the x-axis. b. Determine whether is increasing or decreasing. Justify your answer. c.
[DOC File]POLYNOMIAL PATTERNS Learning Task:
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For example, f(x)= is a third degree polynomial with a leading coefficient of 4. Previously, you have learned about linear functions, which are first degree polynomial functions, y=, where is the slope of the line and is the intercept (Recall: y=mx+b; here m is replaced by and b is replaced by .)
[DOC File]Interpolation and Polynomial Approximation
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Consider a function f(x) that passes through the two distinct points (x0, f(x0)) and (x1, f(x1)) as shown in Figure 3.1-1. The first order polynomial that approximates the function between these …
[DOC File]Inverse Functions
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Restrict the domain of f(x) so that f–1(x) is a function. 5. Which of the following functions are 1-1? For each of the functions find the inverse and, if necessary, restrict the domain of the original function so that the inverse is a function. a) f(x) = x + 4 b) f(x) = 2x c) f(x) =
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