WebJul 3, 2015 · We can show that f −1(y) can be well defined and how to find numerical approximations, but that is about all we can do. Explanation: Given: f (x) = x5 + x3 +x We have: f '(x) = 5x4 +3x2 +1 ≥ 1 for all x ∈ R So f (x) is continuous and strictly monotonically increasing on R. lim x→−∞ f (x) = −∞ and lim x→∞ f (x) = ∞ WebQuestion: A function f is given, and the indicated transformations are applied to its graph (in the given order). Write the equation for the final transformed graph. f (x) = x2, stretch vertically by a factor of 7, shift downward 8 units, and shift 5 units to the right y- …
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WebGraph f (x)=5-x f (x) = 5 − x f ( x) = 5 - x Rewrite the function as an equation. y = 5− x y = 5 - x Reorder 5 5 and −x - x. y = −x+5 y = - x + 5 Use the slope-intercept form to find the … WebGraph the function f (x) = (x + 1) (x - 5). Use the drop-down menus to complete the steps needed to graph the function. 1: Identify the x-intercepts: (-1, 0) and (5, 0) 2: Find the midpoint between the intercepts: (2, 0) 3: Find the vertex? 4: Find the y-intercept? a (0, -9) b (0, -5) c (0, 4) d (0, 5) 5: Plot another point, then draw the graph. b shartobo home stay merak
The graph of a function is shown. On a coordinate plane, a function has ...
WebThe continuous extension of (sin x)^x [0,π] a) Graph f(x)= (sin x)^x on the interval 0 ≤ x ≤ π. What value would you assign to f(x) to make it continuous at x = 0? b) Verify your conclusion in part (a) by finding limx→0+ f(x) with L’Hôpital’s Rule. c) Returning to the graph, estimate the maximum value of f(x) on [0, π].About where ... WebHere is one explanation that requires knowing that (x^a)/ (x^b)= x^ (a-b) You know that, for example, 5/5=1, correct? It is because the numerator and denominator are equal. Suppose you had (5^6)/ (5^6). Since the numerator and denominator are equal, this is also equal to 1. Now, using the exponential property that (x^a)/ (x^b)= x^ (a-b), we have Webf (x)=x is equal to f (x)=x+0, just written in a more abstract way. This is useful when comparing to another linear functions such as your example. f (x)=x-5 is simply just f (x)=x brought down by 5 units, hence the "-5" for the b term. I recommend using desmos for a more visual interpretation, as writing down explanations can be more convoluted. porsche cayman r