In Problems 7–12, find the median.
10.
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- In Problems 43–66, find the indicated extremum of each function on the given interval.arrow_forwardIn Problems 31–42:(a) Find the domain of each function. (b) Locate any intercepts. (c) Graph each function.(d) Based on the graph, find the range. (e) Is f continuous on its domain?arrow_forwardC. Evaluale f(-1) if 3. X47 if x21arrow_forward
- 1.Make a table for n=1,2,3,…,10 to compare the functions f(n)=n^2, g(n)=2^n and h(n)=n! and graph these functions.arrow_forwardIf ƒ = {(1, − 1), ( − 3, ¹), the following values of f and g. a. f(1) b. g(2) = c. g = 3 9 (²1) 4 d. f(2) e. g( − 3) = = f. f(T) = (2, , (2, 1), (5, 1)} = and g = Preview = {(2, -1), − 1), ( – 3, − 2), (³, − ¹)}, 1 find each ofarrow_forwardIn Problems 85–90, use the Intermediate Value Theorem to show that each function has a zero in the given interval. Approximate the zerocorrect to two decimal places.arrow_forward
- 11. Find the values of A & B that would make the given function continuous everywhere x²-4 x < 2 f(x) = X- - 2 Ax² - Bx +3 2x - A + B if if if x ≥ 3 2≤x≤3arrow_forwardIn Problems 47–52, find functions f and g so that f ∘ g = H.arrow_forwardIn Problems 6–11, find the domain of each functionarrow_forward
- In Problems 23–30, use the given zero to find the remaining zeros of each function.arrow_forward2. f(x)=-5* +3arrow_forward1. In the figure below, find the number(s) "c" that Rolle's Theorem promises (guarantees). 10 For Problems 2–4, verify that the hypotheses of Rolle's Theorem are satisfied for each of the func- tions on the given intervals, and find the value of the number(s) "c" that Rolle's Theorem promises. 2. (a) f(x) = x² on |-2, 2 (b) f(x) = x² =5x +8 on [0,5] 3. (a) f(x) = sin(x) on [0, 7] (b) f(x) = sin(x) on [A,57]| 4. (a) f(x) = r-x+3 on | 1,1] (b) f(x) = x cos(x) on (0, [0, 1arrow_forward
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