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Maths-

General

Easy

Question

What is the $y$ -intercept of the graph of $y equals 4 to the power of x end exponent$ in the $x y$ -plane?

$(1,4)$
$(1,0)$
$(0,1)$
$(4,1)$

The correct answer is: $left parenthesis 01 right parenthesis$

In geometry, y - intercept is a point on the equation where the corresponding x coordinate is 0.
Step-by-step solution:-
In the given options, only option C has the point where x coordinate is 0.
Hence, Option C is the correct Option.
Final Answer:-
Option C i.e. (0,1) is the correct Option.
Note:-
Alternatively, we can substitute x = 0 in the given equation to find its y-intercept.
∴ y = 4°
∴ y = 1-------------(Any number raised to the power 0 is 1)
∴ x = 0 & y = 1 (0, 1) i.e. is the solution
However, to save time in the exam, method followed in the above solution will be useful.

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