The function- fx-minx- x2 - - x - R is continuous-A- FalseB- True

The correct option is B True (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 ...

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Byju's Answer

Standard XII

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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Similar questions

Is the function, f(x) = min {x,x²} ᵿx ϵ R continuous?

f (x) = min {x, x^{2}} \forall x \in R

. Then

f (x)

Q. Let

f : R \to R

be a function defined by

f (x) = m i n {x + 1, | x | + 1}

, then which of the following is true?

Q. Let

f (x) = {\begin{matrix} min {x, x^{2}}, & x \geq 0 max {2 x, x^{2} - 1}, & x < 0 \end{matrix}

Then which of the following is not true?

f (x) = min {x, x^{2}}, \forall x ϵ R

then

f (x)

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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.