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Magazine Problem 1
Fill in each blank with the correct response. The domain and the range of the identity function are both _____.
Problem 1
Let \(f(x)=x^{2}\) and \(g(x)=2 x-5 .\) Match each function in Group I with the correct expression in Group II. $$I$$ $$(f+g)(x)$$ $$\mathbf{II}$$ $$A.\quad4 x^{2}-20 x+25$$ $$B.\quad x^{2}-2 x+5$$ $$C.\quad 2 x^{2}-5$$ $$D.\quad \frac{x^{2}}{2 x-5}$$ $$E. \quad x^{2}+2 x-5$$ $$F. \quad 2 x^{3}-5 x^{2}$$
Problem 1
Write an equation in \(x\) and \(y\) that results in the desired transformation. Do not use a calculator. The squaring function, vertically stretched by applying a factor of 2
Problem 2
Let \(f(x)=x^{2}\) and \(g(x)=2 x-5 .\) Match each function in Group I with the correct expression in Group II. $$I$$ $$(f-g)(x)$$ $$\mathbf{II}$$ $$A.\quad4 x^{2}-20 x+25$$ $$B.\quad x^{2}-2 x+5$$ $$C.\quad 2 x^{2}-5$$ $$D.\quad \frac{x^{2}}{2 x-5}$$ $$E. \quad x^{2}+2 x-5$$ $$F. \quad 2 x^{3}-5 x^{2}$$
Problem 2
Fill in each blank with the correct response. The domain of the squaring function is _____, and it's rage is ______.
Problem 2
Write an equation in \(x\) and \(y\) that results in the desired transformation. Do not use a calculator. The cubing function, vertically shrunk by applying a factor of \(\frac{1}{2}\)
Problem 3
Write an equation in \(x\) and \(y\) that results in the desired transformation. Do not use a calculator. The square root function, reflected across the \(y\) -axis
Problem 3
Let \(f(x)=x^{2}\) and \(g(x)=2 x-5 .\) Match each function in Group I with the correct expression in Group II. $$I$$ $$(f g)(x)$$ $$\mathbf{II}$$ $$A.\quad4 x^{2}-20 x+25$$ $$B.\quad x^{2}-2 x+5$$ $$C.\quad 2 x^{2}-5$$ $$D.\quad \frac{x^{2}}{2 x-5}$$ $$E. \quad x^{2}+2 x-5$$ $$F. \quad 2 x^{3}-5 x^{2}$$
Problem 4
Let \(f(x)=x^{2}\) and \(g(x)=2 x-5 .\) Match each function in Group I with the correct expression in Group II. $$I$$ $$\left(\frac{f}{g}\right)(x)$$ $$\mathbf{II}$$ $$A.\quad4 x^{2}-20 x+25$$ $$B.\quad x^{2}-2 x+5$$ $$C.\quad 2 x^{2}-5$$ $$D.\quad \frac{x^{2}}{2 x-5}$$ $$E. \quad x^{2}+2 x-5$$ $$F. \quad 2 x^{3}-5 x^{2}$$
Problem 4
Write an equation in \(x\) and \(y\) that results in the desired transformation. Do not use a calculator. The cube root function, reflected across the \(x\) -axis
