2 -2 0 Transformation A: V2f(x-3)1
Transformation B: Vf(2x + 2)-3
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Using the graph of the function f(x) and the table of values, give the table of values the transformation of each funct...
The table shows some values of the derivative of an unknown function f. Complete the table...
The table shows some values of the derivative of an unknown function f. Complete the table by finding the derivative of each transformation of * -2 -1 0 1 2 3 possible. (If an answer is undefined, enter UNDEFINED - 13-3----- OX) x) (a) o(x) = f(x) - 3 -2 -1 0 1 9x) 5 x 233 x 26/3 (b) h(x) - 2x) 2 (c) (x) = f(-3) rex) OX) UNDEFINED U NDEFINED UNDEFINED U NDEFINED U NDEFINED U NDEFINED...
The transformation of a function f(x) into a function g(x) is given by g(x) = Af(Bx...
The transformation of a function f(x) into a function g(x) is given by g(x) = Af(Bx + H) + K. where the constants • A vertically scales the function. (negative A reflects the function about the x-axis.) • B horizontally scales the function. (negative B reflects the function about the y-axis.) • H horizontally shifts the function. • K vertically shifts the function. Transform f(z) into g(x) where the transformation is g(x) = -f(x) The function f(s) is shown below...
Use a table of values and 3. Graph the function f(x) = 2 - 2 plot...
Use a table of values and 3. Graph the function f(x) = 2 - 2 plot at least 3 points.
9. Graph the function defined by f(x) = 2 x +1 -3. Parent function: f(x) =...
9. Graph the function defined by f(x) = 2 x +1 -3. Parent function: f(x) = x 1. f(x) = 2x +1 -3 Shift the graph to the left 1 unit 2. f(x) = 2 x +1 -3 Apply a vertical stretch multiply the y-values by 2) 3. f(x) = 2x+1-3 Shift the graph downward 3 units. 10. Graph the function defined by = (x) = -V3- x. Parent function y = x
12. (20 points) Sketch the graph of the function f(x) which satisfies the following conditions. Using...
12. (20 points) Sketch the graph of the function f(x) which satisfies the following conditions. Using interval notation list all intervals where the function f is decreasing, increasing, concave up, and concave down. List the x-coordinates of all local maxima and minima, and points of inflection Show asymptotes with dashed lines and give their equations. Label all important points on the graph. -1 2 a. f(x) is defined for all real numbers 2x b. f'(x) = c. f"(x) = (x-1)...
12. (20 points) Sketch the graph of the function f(x) which satisfies the following conditions. Using...
12. (20 points) Sketch the graph of the function f(x) which satisfies the following conditions. Using interval notation list all intervals where the function f is decreasing, increasing, concave up, and concave down. List the x-coordinates of all local maxima and minima, and points of inflection. Show asymptotes with dashed lines and give their equations. Label all important points on the graph. 2x X-1 2. a. f(x) is defined for all real numbers b. f'(x) = c. f"(x) = (x-1)2...
2. Using your knowledge of inverses, prepare a table of values for the inverse of the...
2. Using your knowledge of inverses, prepare a table of values for the inverse of the function in problem #1. Use the table you filled out above to help! Graph the inverse on the same coordinate system as the function above. Label each graph appropriately as f(x) or f'(x). Answer the following for the inverse function: The equation of the inverse is f'(x) = х y Domain Range coordinates of the x-intercept equation of the asymptote You must show all...
7) Sketch a graph of a function that has the following properties: lig, f(x)--2 linn,f(x) = 2 f(3)-1 lino f(x) = 1...
7) Sketch a graph of a function that has the following properties: lig, f(x)--2 linn,f(x) = 2 f(3)-1 lino f(x) = 1 /(0)--1 x-3 8) Use a table of values to estimate the limit. Include in your table all of the values of t that you use and the results, but feel free to use a calculator for the arithmetic. Make sure to state your conclusion. a) lim 5-1 t t→0 b) lim
7) Sketch a graph of a function...
4. Transform the graph of f(2)=3into g(x) = 3 - 2 Show a table of values...
4. Transform the graph of f(2)=3into g(x) = 3 - 2 Show a table of values and a graph (neatly sketched by hand) for each step of the transformation starting from f (x). (15 marks)
For problems 8-12, use the graph of y=f(x) and the table for g(x) and g'(x) to...
For problems 8-12, use the graph of y=f(x) and the table for g(x) and g'(x) to compute the indicated derivatives. Write your final answer and only your final answer) in the space provided. Answers should be exact and fractions should be used where appropriate (do not use numbers in decimal form). 1 -4 -2 g(x) 2 5/2 3 14/5 &'(x) 7/5 1/2 1/4 -1/4 0 2 قيا 2 - 1 -2 - 1/2 4 0 5 6 8 1 6...
The table shows some values of the derivative of an unknown function f. Complete the table by finding the derivative of each transformation of * -2 -1 0 1 2 3 possible. (If an answer is undefined, enter UNDEFINED - 13-3----- OX) x) (a) o(x) = f(x) - 3 -2 -1 0 1 9x) 5 x 233 x 26/3 (b) h(x) - 2x) 2 (c) (x) = f(-3) rex) OX) UNDEFINED U NDEFINED UNDEFINED U NDEFINED U NDEFINED U NDEFINED...
The transformation of a function f(x) into a function g(x) is given by g(x) = Af(Bx + H) + K. where the constants • A vertically scales the function. (negative A reflects the function about the x-axis.) • B horizontally scales the function. (negative B reflects the function about the y-axis.) • H horizontally shifts the function. • K vertically shifts the function. Transform f(z) into g(x) where the transformation is g(x) = -f(x) The function f(s) is shown below...
Use a table of values and 3. Graph the function f(x) = 2 - 2 plot at least 3 points.
9. Graph the function defined by f(x) = 2 x +1 -3. Parent function: f(x) = x 1. f(x) = 2x +1 -3 Shift the graph to the left 1 unit 2. f(x) = 2 x +1 -3 Apply a vertical stretch multiply the y-values by 2) 3. f(x) = 2x+1-3 Shift the graph downward 3 units. 10. Graph the function defined by = (x) = -V3- x. Parent function y = x
12. (20 points) Sketch the graph of the function f(x) which satisfies the following conditions. Using interval notation list all intervals where the function f is decreasing, increasing, concave up, and concave down. List the x-coordinates of all local maxima and minima, and points of inflection Show asymptotes with dashed lines and give their equations. Label all important points on the graph. -1 2 a. f(x) is defined for all real numbers 2x b. f'(x) = c. f"(x) = (x-1)...
12. (20 points) Sketch the graph of the function f(x) which satisfies the following conditions. Using interval notation list all intervals where the function f is decreasing, increasing, concave up, and concave down. List the x-coordinates of all local maxima and minima, and points of inflection. Show asymptotes with dashed lines and give their equations. Label all important points on the graph. 2x X-1 2. a. f(x) is defined for all real numbers b. f'(x) = c. f"(x) = (x-1)2...
2. Using your knowledge of inverses, prepare a table of values for the inverse of the function in problem #1. Use the table you filled out above to help! Graph the inverse on the same coordinate system as the function above. Label each graph appropriately as f(x) or f'(x). Answer the following for the inverse function: The equation of the inverse is f'(x) = х y Domain Range coordinates of the x-intercept equation of the asymptote You must show all...
7) Sketch a graph of a function that has the following properties: lig, f(x)--2 linn,f(x) = 2 f(3)-1 lino f(x) = 1 /(0)--1 x-3 8) Use a table of values to estimate the limit. Include in your table all of the values of t that you use and the results, but feel free to use a calculator for the arithmetic. Make sure to state your conclusion. a) lim 5-1 t t→0 b) lim
7) Sketch a graph of a function...
4. Transform the graph of f(2)=3into g(x) = 3 - 2 Show a table of values and a graph (neatly sketched by hand) for each step of the transformation starting from f (x). (15 marks)
For problems 8-12, use the graph of y=f(x) and the table for g(x) and g'(x) to compute the indicated derivatives. Write your final answer and only your final answer) in the space provided. Answers should be exact and fractions should be used where appropriate (do not use numbers in decimal form). 1 -4 -2 g(x) 2 5/2 3 14/5 &'(x) 7/5 1/2 1/4 -1/4 0 2 قيا 2 - 1 -2 - 1/2 4 0 5 6 8 1 6...
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