Test 20
1.
The source graph \(y=f(x)\) is a downward parabola with roots \(-4,4\) and maximum \(8\).
\(\text{graph of }\samefrac12[|f(x)|+f(x)]=?\)
A) B) C) D) E)
2.
\(f(x)=\sqrt{\samefrac1x-\samefrac1{x-4}}\)
What is the domain of f in the real numbers?
A) \((0,5)\)B) \((0,4)\)C) \((1,4]\)D) \((-4,0)\)E) \((4,\infty)\)
3.
\(f(x)=\sqrt{\samefrac{3-|x|}{3+|x|}}\)
What is the domain of f in the real numbers?
A) \((-3,\infty)\)B) \((-\infty,3)\)C) \([-3,3]\)D) \((-3,3)\)E) \(\mathbb R\setminus(-3,3)\)
4.
The source graph has \(f(x)=-2\) for the left side and then rises linearly through \((2,0)\).
\(\text{graph of }|f(x)|+f(x)=?\)
A) B) C) D) E)