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Homework- One to One Solutions
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Maths-

General

Easy

Question

What is the graph of the equation $y equals 2 left parenthesis 3 right parenthesis to the power of x end exponent$ ?

The correct answer is:

HINT: Given graph is exponential. Substitute random values for $x$ to get $y.$
Complete step by step Solution
When x = 0, $y equals 2 left parenthesis 3 right parenthesis to the power of 0 end exponent equals 2$
Likewise, when x = 1; $y equals 2 left parenthesis 3 right parenthesis to the power of 1 end exponent equals 6$
Compare these values with the options.
In option A,
When x = 0; y = 2 and when x = 1; y = 6. Here both the values are correct.
In option B,
When x = 0; y = 1 so option B goes wrong.
In option C,
When x = 0; y = 3 so option C goes wrong.
In option D,
When x = 0; y = 2 but when x = 1; y = 7 which is incorrect so option D goes wrong.
Hence, option A is the correct answer.

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