1 f(x) = x² – 9 f(x) : x² +3 1 f(x) = Function: (x + 3)² Domain: Range: Equations of Vertical Asymptote(s): y-intercept:
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A: We can solve this as follows:
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- For the fallowing exercises, find the x- and y-intercepts of the graphs of each function. 11. f(x)=2x+1+6For the following exercises, use a calculator to approximate local minima and maxima at the global minimum andmaximum. 70. f(x)=x4+3x2Using Optimization in Derivatives, solve the following question: A farmer wants to have small garden beside his house. No fence needed beside his house. If he has 26 m of fencing materials, what should be the dimension of his garden to have the maximum area?
- Use the function’s equation f(x) = -x2 + 14x - 106, and not its graph,to finda. the minimum or maximum value and where it occurs.b. the function’s domain and its range.The yield in bushels from a grove of orange trees is given by Y = x(400 − x), where x is the number of orange trees per acre. How many trees will maximize the yield? ___________ treesConsider the function y = 3x2+2x-4. What is the exact value of C in the interval [-2, 4] such that f(c) = fave ?
- Consider the function f(x)=(x+1)(x–1)2, At what value of x will the graph of f cross the y-axis? Show solution and graph.F(x)= -x^2-4x+2 -Find x-intercepts(x,y) (smaller x value)?The average cost per hour is dollars of producing x riding mowers is given be the following: C(x) = .4x2+17x_291+2222/x Using a graph utility to determine the number of riding mowers to produce in order to minimizw average cost. What is the minimum average cost?