5.4k views
14 votes
Rewrite the explicit formula in function form. The identify the y-

intercept of the function.
an = 10+2(n-1)

User Gadss
by
8.1k points

2 Answers

5 votes

Final answer:

The explicit formula an = 10+2(n-1) can be rewritten in function form as f(n) = 10 + 2(n - 1). The y-intercept of the function is 8, which is the value of the function when n is zero.

Step-by-step explanation:

To rewrite the explicit formula an = 10 + 2(n - 1) in function form, we start by replacing an with f(n), which yields:

f(n) = 10 + 2(n - 1).

This is the function in function notation. Now, to identify the y-intercept of the function, we need to find the value of f(n) when n is zero:

f(0) = 10 + 2(0 - 1) = 10 - 2 = 8.

The y-intercept of the function is 8. This is the point where the graph of the function will cross the y-axis when the function is graphed on a coordinate plane.

User Lasitha Yapa
by
8.1k points
6 votes

Answer:

We have the relation:

aₙ = 10 + 2*(n - 1)

And we want to write this in fuction form:

y = f(n)

first we have:

aₙ = y = 10 + 2*(n - 1)

We can rewrite this as:

y = 10 + 2*n - 2

y = 2*n + (10 - 2)

y = 2*n + 8

Now we want to find the y-intercept, this is the value of the function when the variable is equal to zero.

Then if we take n = 0, we get:

y = 2*0 + 8

y = 8

The y-intercept is 8.

User Huanian Zhang
by
8.3k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories