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Magazine Problem 87
Begin by graphing the absolute value function, \(f(x)=|x|.\) Then use transformations of this graph to graph the given function. $$h(x)=-|x+4|$$
Problem 88
Begin by graphing the absolute value function, \(f(x)=|x|.\) Then use transformations of this graph to graph the given function. $$h(x)=-|x+3|$$
Problem 88
find and simplify the difference quotient $$\frac{f(x+h)-f(x)}{h}, h \neq 0$$ for the given function. $$ f(x)=7 $$
Problem 88
Determine whether each statement makes sense or does not make sense, and explain your reasoning. I'm working with the linear function \(f(x)=3 x+5\) and \(I\) do not need to find \(f^{-1}\) in order to determine the value of \(\left(f \circ f^{-1}\right)(17)\).
Problem 89
Begin by graphing the absolute value function, \(f(x)=|x|.\) Then use transformations of this graph to graph the given function. $$g(x)=-|x+4|+1$$
Problem 89
find and simplify the difference quotient $$\frac{f(x+h)-f(x)}{h}, h \neq 0$$ for the given function. $$ f(x)=\frac{1}{x} $$
Problem 89
Determine whether each statement makes sense or does not make sense, and explain your reasoning. In graph of \((x-2)^{2}+(y+1)^{2}=16\) is my graph of \(x^{2}+y^{2}=16\) translated two units right and one unit down.
Problem 90
Begin by graphing the absolute value function, \(f(x)=|x|.\) Then use transformations of this graph to graph the given function. $$g(x)=-|x+4|+2$$
Problem 90
find and simplify the difference quotient $$\frac{f(x+h)-f(x)}{h}, h \neq 0$$ for the given function. $$ f(x)=\frac{1}{2 x} $$
Problem 91
find and simplify the difference quotient $$\frac{f(x+h)-f(x)}{h}, h \neq 0$$ for the given function. $$ f(x)=\sqrt{x} $$
