The correct equation which represents the graph is y = log (2x) + 3. Then the correct option is B.
<h3>What is a function?</h3>
The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.
The equations are given below.
The graph of the function y = 2ˣ + 3 approaches zero when the value of x goes to negative infinity.
The graph of the function y = log (2x) + 3 approaches the negative infinity when the value of x approaches zero.
The graph of the function y = 2x² + 2 is parabolic in nature.
Then the correct equation which represents the graph is y = log (2x) + 3.
More about the function link is given below.
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Answer: Satisfied for n=1, n=k and n=k+1
Step-by-step explanation:
The induction procedure involves two steps
First is
Basic Step
Here we consider that for the value n=1, there is one car and it will always make the full circle.
Induction Step
Since basic step is satisfied for n=1
Now we do it for n=k+1
Now according to the statement a car makes full circle by taking gas from other cars as it passes them. This means there are cars that are there to provide fuel to the car. So we have a car that can be eliminated i.e. it gives it fuels to other car to make full circle so it is always there.
Now ,go through the statement again that the original car gets past the other car and take the gas from it to eliminate it. So now cars remain k instead of k+1 as it's fuel has been taken. Now the car that has taken the fuel can make the full circle. The gas is enough to make a circle now.
So by induction we can find a car that satisfies k+1 induction so for k number of cars, we can also find a car that makes a full circle.
Answer:
Each number is being multiplied by 3.
Thr next 3 numbers would be, 486, 1,458, and 4,374