Answer:
Step-by-step explanation:
<u>Exponential Function</u>
When we need to express the exponential relation between two variables, we use the equation
where C, r are constants to be determined by using the given points from the table
For x=0, y=2, thus
We find that C=2
The equation is now
Now we use the point x=1, y=1
We find that
Thus, the equation is
Rearranging
The required equation is
We can easily verify the last two points are also obtained by using the equation
<u>Answer:</u>
The value of f(x) = when x=3 is 19, hence the correct option is ‘d’.
<u>Solution:</u>
A two degree polynomial equation is given in the question.
The equation is:
We need <em>to find the value of f(x) when the value of x is 3. </em>
To solve a question like this we have to substitute the given value of x in the given equation and then simplify it.
Now let's substitute the value of x in the given equation.
First we square the number 3 and then multiply it with 2 and then add 1.
This is done because of the BODMAS rule, in which multiplication is given higher preference as compared to addition.
On solving the equation we get,
F(x)=2×9+1
F(x)=18+1
F(x)=19.
Therefore the value of f(x) when x=3 is 19.
Hence the correct option is ‘d’.
