Question

Which type is each function below?

Answer 1

y = 3x + 8

Explanation:

Let the general form of the function be: y = ax + b.

Now, we substitute the points from the table to arrive at the values of 'a' and 'b'.

From the table, when x = 0, we have y = 8.

⇒ 8 = a(0) + b

⇒ b = 8

Also, when x = 1, y = 11.

⇒ 11 = a(1) + 8

⇒ a = 3

Therefore, the function becomes y = 3x + 8.

Substitute other points to check if the obtained function is correct. Simple substitution would show that this is indeed the required function.