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Magazine Problem 1
1-4 The graph of a quadratic function \(f\) is given. (a) Find the coordinates of the vertex. (b) Find the maximum or minimum value of \(f .\) $$f(x)=-x^{2}+6 x-5$$
Problem 1
Sketch the graph of the function by first making a table of values. $$f(x)=2$$
Problem 1
In these exercises you are asked to find a function that models a real-life situation. Use the guidelines for modeling described in the text to help you. Area A rectangular building lot is three times as long as it is wide. Find a function that models its area \(A\) in terms of its width \(w\)
Problem 1
Find \(f+g, f-g, f g,\) and \(f / g\) and their domains. $$f(x)=x-3, \quad g(x)=x^{2}$$
Problem 1
Suppose the graph of \(f\) is given. Describe how the graph of each function can be obtained from the graph of \(f .\) (a) \(y=f(x)-5\) (b) \(y=f(x-5)\)
Problem 2
Find \(f+g, f-g, f g,\) and \(f / g\) and their domains. $$f(x)=x^{2}+2 x, \quad g(x)=3 x^{2}-1$$
Problem 2
The graph of a quadratic function \(f\) is given. (a) Find the coordinates of the vertex. (b) Find the maximum or minimum value of \(f .\) $$f(x)=-\frac{1}{2} x^{2}-2 x+6$$
Problem 2
Suppose the graph of \(f\) is given. Describe how the graph of each function can be obtained from the graph of \(f .\) (a) \(y=f(x+7)\) (b) \(y=f(x)+7\)
Problem 2
In these exercises you are asked to find a function that models a real-life situation. Use the guidelines for modeling described in the text to help you. Area A poster is 10 inches longer than it is wide. Find a function that models its area \(A\) in terms of its width \(w\)
Problem 2
Express the rule in function notation. Divide by \(7,\) then subtract 4
