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Standard XII

Mathematics

Graph of Trigonometric Ratios

Consider the ...

Question

Consider the graph of the function $y = 2^{x}$ At what point will this graph intersect the $x$ -axis ?

(2, 0)

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(0, 0)

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(1, 0)

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(- 1, 0)

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Never intersects

x

-axis

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Solution

The correct option is D Never intersects $x$ -axis
For graph to be intersect at $x$ -axis, the $y$ co-ordinate should be zero there.
$2^{x} = 0$
But no such value of $x$ exist for which $2^{x} = 0$
Option $E$ is correct.

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Consider the graph of the function y=2x At what point will this graph intersect the x-axis ?

The correct option is D Never intersects x-axisFor graph to be intersect at x-axis, the y co-ordinate should be zero there.2x=0But no such value of x exist for which 2x=0Option E is correct.

Consider the graph of the function $y = 2^{x}$ At what point will this graph intersect the $x$ -axis ?

The correct option is D Never intersects $x$ -axis
For graph to be intersect at $x$ -axis, the $y$ co-ordinate should be zero there.
$2^{x} = 0$
But no such value of $x$ exist for which $2^{x} = 0$
Option $E$ is correct.