Concept explainers
Limits and Continuity Sketch the graph of the function
(a) Evaluate
(b) Evaluate the limits
(c) Discuss the continuity of the function.
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Chapter 1 Solutions
Calculus
- Use the graph of f shown in the figure to sketch the graph of each function. (a) f(x − 4) (b) f(x + 2) (c) f(x) + 4 (d) f(x) − 1 (e) 2f(x) (f) 1/2 f(x) (g) f(−x) (h) −f(x)arrow_forwardThe graph below is the function f(x)arrow_forwardConsider function f (x) = -2*(x - 1)*(x + 3), for x ∈ Real Numbers. Attached figure shows a part of graph of "f" . (a) For this graph of f : (i) Find X-coordinate of all intersections with X-axis . (ii) Find coordinates of VERTEX. Function f can be written in form f (x) = -2*(x-h)2 + k . (b) Write values of h and k .arrow_forward
- Formal Definition f x = x = -x, x 0 Graph f x = x and state its characteristics. Aarrow_forwardFind lim f(x). lim f(x) =O X--6* X-6* (Type an integer value.) (-6, 2) 2, 2) (4, 1) -12 -6 2,-2 (- 10, -4)arrow_forwardTo graph the function f, we plot the points (x, f(x) To graph f(x)=x2-4, we plot the following points. O (x, 0) O (x, 1) O(x,x-3) O (X, 2x) (x, x² - 4) So the point (3, Complete the table. X -2 -1 0 1 2 0 f(x) = x² - 4 -3 -4 -3 0 x ) is is on the graph of f. The height of the graph of f above the x-axis when x = 3 is ✓ (-2,0 (x, y) -1, -3 f(x) (0,-4 (1, -3) 2,0 in a coordinate plane. )arrow_forward
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage