how do the graph of f x and f 1 x relate How do the graph of f x and f 1 x relate A They are rotations of each other B They are reflections of each other C They are the exact same graph D They
Since the graph is below the x axis we move down until we hit the graph The graph has y 1 there Therefore f 0 1 We can also just evaluate Assuming that f is a polynomial can I just pick the graphs of of f f and f visually by recalling that a derivative of a polynomial will produce an polynomial equation
how do the graph of f x and f 1 x relate
how do the graph of f x and f 1 x relate
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Characteristics Of Rational Functions College Algebra
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Draw The Graph Of The Function F x x X 1
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The y intercept is found when x 0 which is merely f 0 To find the x intercepts I solve for when f x 0 For the square root function sqrt x 0 The graph of f is the set of all ordered pairs x f x so that x is in the domain of f In symbols text Graph of f x f x x text is in the domain of f nonumber
We notice a distinct relationship The graph of f 1 x f 1 x is the graph of f x f x reflected about the diagonal line y x y x which we will call the identity line shown in The graph of a function is the graph of all its ordered pairs x y x y or using function notation x f x x f x where y f x y f x fxf x name of functionx coordinate of the ordered pairy coordinate of the
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If you were to get the slope of f x at the far left it would be increasing 1 2 3 and peaking at 4 around x 7 5 Then decreasing to 3 2 1 0 Note that those Looking at the graphs together we see that the graph of y f x and the graph of y f 1 x are reflections across the line y x A coordinate plane The x and y axes both
Desmos Graphing Calculator Untitled Graph is a powerful and interactive tool for creating and exploring graphs of any function equation or inequality You can customize your To evaluate the sign of f x 5 x 2 x 2 3 f x 5 x 2 x 2 3 for x 3 0 x 3 0 and x 0 3 x 0 3 let x 1 x 1 and x 1 x 1 be the two test points
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how do the graph of f x and f 1 x relate - We notice a distinct relationship The graph of f 1 x f 1 x is the graph of f x f x reflected about the diagonal line y x y x which we will call the identity line shown in