The function- fx - min x-x2- x - R is continuous-

(A) Let's plot the graph of f(x)=x and g(x)= x^2 h(x)=x⇒ g(x)=x^2⇒ ⇒ f(x) ⇒ As we see, there is no discontinuity in f(x). The function is continuou ...

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Byju's Answer

Standard XIII

Mathematics

Continuity in an Interval

The function,...

Question

The function, $f (x) = m i n {x, x^{2}} / ℧ x ϵ R$ is continuous?

True

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False

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Solution

The correct option is A
True

(A) Let's plot the graph of f(x)=x and g(x)= $x^{2}$

h(x)=x $\Rightarrow$

g(x)= $x^{2} \Rightarrow$

$\Rightarrow f (x) \Rightarrow$

As we see, there is no discontinuity in f(x).

The function is continuous.

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The function, f(x)=min {x,x2}/℧ x ϵ R is continuous?

The correct option is A True (A) Let's plot the graph of f(x)=x and g(x)= x2 h(x)=x⇒ g(x)=x2⇒ ⇒f(x)⇒ As we see, there is no discontinuity in f(x). The function is continuous.

The function, $f (x) = m i n {x, x^{2}} / ℧ x ϵ R$ is continuous?

The correct option is A
True

(A) Let's plot the graph of f(x)=x and g(x)= $x^{2}$

h(x)=x $\Rightarrow$

g(x)= $x^{2} \Rightarrow$

$\Rightarrow f (x) \Rightarrow$

As we see, there is no discontinuity in f(x).

The function is continuous.