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Troyanec [42]
3 years ago
9

T/F The range of a function is the set of all its inputs

Mathematics
2 answers:
MaRussiya [10]3 years ago
6 0
True, the range of a function is the set of all its inputs. The range of a discrete function would be written like: [ y_{1}, y_{2},  y_{3},  y_{4} ], while the range of a continuous function would be written like: (y_{0}, y_{n})
Pavlova-9 [17]3 years ago
3 0
False, the range of a function is not the set of all its inputs.
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x^2-3x-4=0\\\\x^2-2x\cdot\frac{3}{2}=4\ \ \ /+(\frac{3}{2})^2\\\\x^2-2x\cdot\frac{3}{2}+(\frac{3}{2})^2=4+(\frac{3}{2})^2\\\\(x-\frac{3}{2})^2=4+\frac{9}{4}\\\\(x-\frac{3}{2})^2=\frac{16}{4}+\frac{9}{4}\\\\(x-\frac{3}{2})^2=\frac{25}{4}\\\\x-\frac{3}{2}=\pm\sqrt\frac{25}{4}

x-\frac{3}{2}=\pm\frac{\sqrt{25}}{\sqrt4}\\\\x-\frac{3}{2}=\pm\frac{5}{2}\\\\x-\frac{3}{2}=-\frac{5}{2}\ or\ x-\frac{3}{2}=\frac{5}{2}\\\\x=-\frac{5}{2}+\frac{3}{2}\ or\ x=\frac{5}{2}+\frac{3}{2}\\\\x=-\frac{2}{2}\ or\ x=\frac{8}{2}\\\\x=-1\ or\ x=4
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