If the graph in Figure 4.3 is that of f'(x), which of the following statements is true concerning the function f? 1 f' (x) + 1 4 -1 -2F 3- 2.

Q: If you restrict the function f(x)=x^2 to the set [0, 1], what are it's fixed points and its inverse?

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Q: Graph 2x+ 3 ifx <-1 f(x)=- 3- x if x 2-1

A: given f(x) =2x+3   if  x&lt;-13-x    if   x≥-1

Q: determine the positive and negative intervals of the equation f(x)=x2e17x

A: Note that x2≥0 for all x. And, e17x&gt;0 for all x.   That means f(x)=x2e17x≥0 for all x.

Q: The graph of the first derivative f'(x) of a function f is shown below: 50- -50- 100- Does f have…

A: Given:

Q: The graph of f(x) is given in the top picture. Sketch the graph of f'(x) in the bottom picture. if…

A: In the given graph f(x), we can see that the graph is increasing from x=-5 to x=0 when graph is…

Q: sketch two possible different 'families' of 6th degree functions with roots at -3, 4 and 1 and write…

A: To sketch two possible different 'families' of 6th degree functions with roots at -3, 4 and 1

Q: The graph of a function f (x) is shown. List the letter(s) of the point(s) at which f '(x) 0.

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Q: f(x) is a function such that f"(x) > 0 for x # 0 and f"(0) is undefined. Sketch 2 different graphs…

A: Here we need to plot two functions such that and f''(0) is undefined.In other words f(x) is concave…

Q: For the given graph of the function f, on the left, sketch the graph of of f' on the right. 4 2 -4…

A: First we need to calculate the equation if the function given. And then we will try to graph the…

Q: 1. Assume that the function f is a one-to-one function. (a) If f(2) = 5, find f-(5). Your answer is…

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Q: known that the points (4, 7), (8, 11) and (14, 18) are on the graph of the function y = f(x). It is…

A: Given: (4,7),(8,11) and (14,18)   are on the graph of y=f(x)

Q: graph the following functions  f(x)=3x-1    if x\le 0        -2x+1   if x\gt 0

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Q: We will sketch the graph of f(x) = x-2/x^2-4. Step 1: Find the domain of f What values of x make…

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Q: 3x ? x²-9 What is the domain and range of the function fx=

A: Given function is  f(x)=3x(x2-9) Which is not well defined at x=±3. Thus, Domain of f(x) is…

Q: Which of the following is not the test interval of the function f(x) = 1/x +2x

A: The given function is f(x)=1x+2x Differentiating the given equation with respect to 'x', we get…

Q: In the graph of f in the figure, at which of the labeled x-values is each of the following true? Use…

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Q: Determine all values of x for which the slope of the line tangent to y=x³ - 4x² +9x-1 is 5.

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Q: The population of a city in the year 2000 is 250,000 people, and is modeled by the function, f (x) =…

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Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: