Question
When written as $y=f(x),$ a function is said to be defined ______.(a) explicitly(b) consistently(c) implicitly(d) rationally
Step 1
A function is said to be defined implicitly if it is defined by an equation in x and y. For example, the equations 3x + 4y = 5 or x^2 + y = 5 are examples of implicitly defined functions because they involve both x and y. Show more…
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When written as $y=f(x),$ a function is said to be defined _____. $$ \begin{array}{ll}{\text { (a) explicitly }} & {\text { (b) consistently }} \\ {\text { (c) implicitly }} & {\text { (d) rationally }}\end{array} $$
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When written as $y=f(x),$ a function is said to be defined ________.
Let $\mathrm{f}: \mathrm{R} \rightarrow \mathrm{R}$ be defined by $\mathrm{f}(\mathrm{x})=\left\{\begin{array}{l}1, \text { if } \mathrm{x} \text { is rational } \\ 0, \text { if } \mathrm{x} \text { is irrational }\end{array}\right.$ then $\mathrm{ff}(\mathrm{x})$ is (a) $x$ (b) $\mathrm{f}(\mathrm{x})$ (c) 0 (d) 1
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