1. Below are graphs of functions cut by straight lines. Encircle the function cut by a tangent line and box the function cut by a secant line.

Q: 8. Find the inflection points of the previous function and identify regions for which the function…

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Q: "Determine where the graph of the function is concave, is convex or has points of inflection" e)…

A: For a given function f(x) The points at which f''(x)>0 the graph of the function is convex…

Q: Give a function that does not have an inflection point at a pointwhere f ″(x) = 0.

A: Example  f(x)=x4

Q: 6. Find the inflection points of the previous function and identify regions for which the function…

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Q: To three decimal places find the value of the first positive x-intercept for the function…

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Q: y = x² /9 – x

A: x=0 y=0   x=1 y=(8)^(1/2)   x=2 y=4((7)^(1/2))   x=3 y=9((6)^(1/2))

Q: 10. Identify three characteristics to the graphed function of f (x) = (÷) +1.

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Q: 5. Sketch the graph of the following functions based on your knowledge of the graph of f(x) = |리1.…

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Q: 3) Without a graph, how can one show differentiability of a function at apoint?

A: With out the graph, to show the differentiablity of a function at a point we have to use the…

Q: The heights on the graph of f'(x) correspond to the slopes of the lines tangent to the graph of f.…

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Q: Sketch the graph of the following functions. Provide the table describing the behavior of the…

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Q: Use a graphing utility to approximate to two decimal places any relative minima or maxima of the…

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Q: 9. Sketch the graph of the function y = Va+ 2 and determine the domain and range. 10

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Q: Find the locations of any absolute extrema for the functions with graphs as follows.

A: here we have to find the locations of any absolute extrema for the functions with graphs as follows.…

Q: Explain why the function is discontinuous at the givennumber a . Sketch the graph of the function.

A: The given function is fx=1x+2if x≠-21if x=-2. Note that limx→-2fx does not exist. This implies that…

Q: Find the relative extrema of the function, if they exist. f(x) = 1 %3D

A: Given,          fx=x2+1x2

Q: 2. Use the graphs of y=f(x) and y=g(x) to sketch the graph of y=h(x). Hint: Estimate the function…

A: The given graph shows that the function y=fx is a cubic function while y=gx is a quadratic function.…

Q: 3 10. Sketch the graph of the following function: y= 2cos(-x+ 90") - 1, – 360° <x<360.

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Q: sketch the graphs and explain why the functions is discontinuous at the given number a:y= 1/x-1 if…

A: Given function isThe graph can be sketched by plotting few points and joining them using free hand…

Q: Find the locations of any absolute extrema for the functions with graphs as follows.

A: Given:- The graph is given we have to find the absolute extrema.   Explanation:- An absolute…

Q: Suppose f(x) is a known function with a known graph. Give a formula for a function, g(x), whose…

A: f(-x) is reflection of f(x) about y axis.

Q: at is the graph of the function

A: Given that: f(x)=4-xx+2

Q: Suppose the cost of the production and sale of x units of an electronic product is…

A: Given cost function  C(x)=17,000+100x+0.2x^2 dollars.  For x=0 C(x) = 17000 And for c(10) = 18,000…

Q: Determine from the graph whether the function has any absolute extreme values on the interval [a,…

A: To determine if the function has absolute value on the interval.

Q: Graph the following function using the vertex and axis of symmetry. 20- f(x) = (x + <+ 6)? 16- Use…

A: Given f(x)=(x+6)2

Q: f(x) = x – !

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Q: 3. Graph the function well. 0 and create a table of values for this function as

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Q: se the vertical line test to determine which of the following graphs are graphs of functions.…

A: Answer and explanation is given below...

Q: Sketch the graph of the following functions. Provide the table describing the behavior of the…

A: Given: g(x) = 3x⁴ - 4x³

Q: Y 1 +D

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Q: Can a graph of a function be symmetric about the r-axis (do not consider a special case of a line y…

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Q: Use the graph of y f(x) to graph the function g(x) - -f(x).

A: The given function is a piecewise function. Mention the points on the graph.

Q: Explain why the function is discontinuous at the givennumber a . Sketch the graph of the function.

A: The function is given , fx=x2-xx2-1 ,  if x≠11,     if x=1 for a=1. To check the function…

Q: 14. Use the curve sketching procedure to analyze the function. a. y-x'+x*-20x

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Q: The two letter F's in the bottom picture show that the __________ of the function has two pieces.

A: Graph of a function  To fill in the blank  The two letter F's in the bottom picture show that…

Q: Consider the following. Use the Vertical Line Test to determine whether the curve is the graph of a…

A: Graph is given , we have to find it is function or not.

Q: 1, the area A of a circle as a function of its diameter d; the area of a circle of diameter 4 in.

A: Area of the circle = πr2............................................(i)                   radius =…

Q: (3) Create the function which best describes the graph show below. f(x) 8 -7- -6 -5 4- 3 -2- -7 -6…

A: Here the given function is piecewise function so we need to obtain by using graph

Q: a) For any given function y = f(x), explain, with words, how you would determine whether or not…

A: To explain : The inflection point of a function.

Q: f(x) = 2²3 on (0, ∞) x+3

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Q: Suppose that the graph of a function f is known. Then the graph of y = f( - x) may be obtained by a…

A: Suppose fx be a function such that y=fx First, draw the graph of the function y=fx

Q: 1. Determine the domain of the function plotted below. y 6 -6 6 x

A: Domain is the set of x-values for which function is defined.

Q: What will be the orientation of the curve of the graph of the function f(x) = 3 on (-3,0)? z² z+3 O…

A: Given the function f(x) = x2x+3on -3, 0. To find the orientation of the graph of the given function.…

Q: Given the graph below, what can you say about the function at x = 1? 10 -10 Continuous Not…

A: The objective of the question is choose the given function is continuous or discontinues at "x=1".

Q: 5. Sketch the graph of the following functions based on your knowledge of the graph of f(x) = |x|.…

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Q: (3) Create the function which best describes the graph show below. f(x) 8 -7- -6. -5 4- -3 -2 -6 -4…

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Q: You want to build a pen for your new puppy, and you want to put it next to your barn. You have 200…

A: Draw the diagram of the pen for the puppy.

Q: 1. Write an equation that expresses the fact that a function f is continuous at the number 4.

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Q: Find the point of inflection of the graph of the function. (If an answer does not ex ro) = 5…

A: The function is fx=5secx-π2.

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: