If F and G Are Functions Whose Graphs Are Shown

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F x 2 x. They are smooth and continuous.


Evaluate Composite Functions College Algebra

The graph of f is shown below.

. A Find P2 b Find Q7. Section 12 Question 14. Write a function g whose graph represents the indicated transformations of the graph of f.

Graph the piecewise-defined function. The graphs of g g and k k are graphs of functions that are not polynomials. The algebraic way see if an equation determines y as a function of x is to solve.

The graph of function g g has a sharp corner. The graph of function k k is not continuous. Graphs of functions are graphs of equations that have been solved for y.

Let PxFxGx and QxfracFxGx where F and G are the functions whose graphs are shown. Let g be a translation 9 units down followed by a reflection in the y-axis of the graph of fx x. Before we begin graphing it is helpful to review the behavior of exponential growth.

Well use the function f x 2 x. The graphs of f f and h h are graphs of polynomial functions. Recall the table of values for a function of the form f x b x f x b x whose base is greater than one.

Let g be a translation 2 units down and a horizontal shrink by a factor of frac23 of the graph of fx x. The graph of fx in this example is the graph of y x. We have seen that some equations in x and y do not describe y as a function of x.

Observe how the output values in Table 1 change as the input.


Ex Evaluate Composite Functions From Graphs Youtube


Evaluating Composite Functions Using Graphs Video Khan Academy


If F And G Are The Functions Whose Graphs Are Shown Youtube

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