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Chapter 1: Problem 113
What is the graph of a function?
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a. Rewrite the given equation in slope-intercept form. b. Give the slope and y-intercept. c. Use the slope and y-intercept to graph the linear function. $$8 x-4 y-12=0$$
Use the given conditions to write an equation for each line in point-slope form and slope-intercept form. \(x\) -intercept \(=-\frac{1}{2}\) and \(y\) -intercept \(=4\)
Use a graphing utility to graph each function. Use \(a[-5,5,1]\) by [-5,5,1] viewing rectangle. Then find the intervals on which the function is increasing, decreasing, or constant. $$h(x)=2-x^{\frac{2}{5}}$$
On a certain route, an airline carries 9000 passengers per month, each paying \(\$ 150 .\) A market survey indicates that for each \(\$ 1\) decrease in the ticket price, the airline will gain 50 passengers. a. Express the number of passengers per month, \(N,\) as a function of the ticket price, \(x\). b. Express the monthly revenue for the route, \(R\), as a function of the ticket price, \(x\).
The annual yield per lemon tree is fairly constant at 320 pounds per tree when the number of trees per acre is 50 or fewer. For each additional tree over \(50,\) the annual yield per tree for all trees on the acre decreases by 4 pounds due to overcrowding. a. Express the yield per tree, \(Y\), in pounds, as a function of the number of lemon trees per acre, \(x\). b. Express the total yield for an acre, \(T\), in pounds, as a function of the number of lemon trees per acre, \(x\).
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