5 -6pi 6p -5

Q: 15 12 Using this graph, for each of the following pairs of numbers decide which is larger. Be sure…

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Q: (a) Draw the graph of f(x)

A: Consider the exponential function:

Q: Assume that (a, b) is a point on the graph of f. What is the corresponding point on the graph of the…

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Q: The graph of a function f with domain [-3,3] is shown in the figure. Sketch the graph of y = f…

A: Given that, we have to draw a graph in domain [ -3,3 ]   if we reflect the graph along the line y=x…

Q: Use the graph (see attached) of y = f(x) to graph the function g(x) = (1/2)f(x - 1)

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Q: Let f(x)= x^4 If g(x) is the graph of f(x) shifted right 6 units, write a formula for g(x)

A: We have to write a formula for g(x) when f(x) shifted right 6 units.

Q: Find the domain and sketch the graph of the function   g(x) = |x| -x

A: Given: gx=x-x first we simplify given function if, x≥0 then x=x and if, x<0 then x=-x so,…

Q: b) Sketch the graphs of the function f (x) =6-x

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Q: a rectangular sheet of cardboard is 8 inches by 10 inches. Squares are cut out of each corner of the…

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Q: b) f(x) = -4x³ – 6x² + 24x + 1 Use the first derivative test to determine the intervals where the…

A: Use the first and second derivative of the function for increasing/decreasing and concavity.…

Q: The graph of a piecewise function, f(x), is depicted above. Find its equation

A: We have to find the equation of the piecewise continuous function.

Q: The function f(x) is shown in the graph. Which type of function describes f(x)?

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Q: Write a formula for a function g whose graph is similar to f(x) but shifted to the left 9 units and…

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Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.