Concept explainers
Sketching graphs Sketch a possible graph of a function f that satisfies all the given conditions. Be sure to identify all vertical and horizontal asymptotes.
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Calculus: Early Transcendentals (3rd Edition)
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- Instructions as number 1: Please sketch the graph of f and evaluate each. Use appropriate superscripts.arrow_forwardFormal Definition f x = x = -x, x 0 Graph f x = x and state its characteristics. Aarrow_forwardUse the given graph of f to state the value of each quantity, if it exists. (If an answer does not exist, enter DNE.) -4. 2 4 lim f(x) x-2 (a) lim f(x) (b) x- 2* (c) lim f(x) x- 2 (d) f(2) (e) lim f(x) x-4 (f) (4)arrow_forward
- B. LIMITS at INFINITY Recall your lesson in Piece-wise function. X→C In this lesson, you must be able to differentiate between f(c) and lim f(x). In evaluating a function f(c), when you do DIRECT SUBSTITUTION, the result must be a DEFINED NUMBER (A NUMBER THAT EXIST), otherwise f(c) is UNDFINED. Contrary to lim f(x), when you do direct substitution, the answer maybe indeterminate 0/0 but THERE IS A WAY TO EVALUATE THE LIMIT USING MANY TECHNIQUES, otherwise lim f(x) DOES NOT EXIST. x→c X-C Let us examine the piece-wise function below. 0 1. f(-4) 2. f(-2) 3. f (0) The function is defined by the equation. 4. f (1) 5. f(2) 6. f (3) f(x) = 2+7, -4≤x≤-2 -2, 7. f (4) 8. f(7). -1, (x-2)², x-4 x-7 7 A Self-Regulated Learning Module 2arrow_forwardActivity x? -1 a. Find lim f(x) if f(x)= x+1 x-1 b. Complete the table of values. -2 -1.5 -1.1 -1.001 -1 -0.9 -0,5 -0,1 x -1 f(x)= x+1 lim f(x) I-1arrow_forwardarrow_back_iosarrow_forward_ios
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