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Standard XII

Mathematics

Graph of Trigonometric Ratios

Consider the ...

Question

Consider the function $f (x) = 3^{x}$ . At what point, the graph of $f$ will intersect $y$ -axis ?

(0, 1)

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(1, 0)

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(0, 3)

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Never intersect

y

-axis

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Solution

The correct option is A $(0, 1)$
$f (x) = 3^{x}$
On $y$ axis $x = 0$
$f (0) = 3^{0} = 1$
So the function intersect $y$ axis at $(0, 1)$
Option $A$ is correct.

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Consider the function f(x)=3x. At what point, the graph of f will intersect y-axis ?

The correct option is A (0,1)f(x)=3xOn y axis x=0f(0)=30=1So the function intersect y axis at (0,1)Option A is correct.

Consider the function $f (x) = 3^{x}$ . At what point, the graph of $f$ will intersect $y$ -axis ?

The correct option is A $(0, 1)$
$f (x) = 3^{x}$
On $y$ axis $x = 0$
$f (0) = 3^{0} = 1$
So the function intersect $y$ axis at $(0, 1)$
Option $A$ is correct.