Explicit Functions

Find two explicitly-defined functions to describe the relation given by x^2+y^2=100

Find two explicitly-defined functions to describe the relation given by x^2 +y^2+2y=8

An arithmetic sequence is given below.

2, 9, 16, 23, ...

Which is the explicit formula for the n^th term a_n?

(Look at the choices carefully! You may have to simplify your equation to get the correct choice!)

• a_n = -7n+9

• a_n = 7n-5

• a_n = 7n-9

• a_n = -7n+5

How would you write y = 2x - 3 in function notation?

• y = 2x-3

• f = 2x - 3

• f(x) = 2x-3

If f(x)=3x-2 and f-g(x)=x-7, what is g(x)?

• 4x-5

• 4x+5

• 2x-5

• 2x+5

Identify whether the following function is implicit function or explicit function:

• Implicit function

• Explicit function

A geometric sequence has a₁ = 3 and r = 2. What is the Explicit Rule for a_n and use it to find the 10th term.

• a_n = 3 + 2(n-1)

  a₁₀ = 21

• a_n = 2(3)^n-1

  a₁₀ = 39366

• a_n = 3(2)^n-1

  a₁₀ = 1536

• a_n = 2 + 3(n-1)

  a₁₀ = 29

Write the explicit formula for the sequence given by 3, 6, 12, 24, …

• ^a_n= 3(2)^n-1

• ^a_n= 3+(2)ⁿ

• ^a_n= 3(2)ⁿ

• ^a_n= 3+(2)^n-1

The explicit equation is y = 3x +7 and the recursive equation is now = previous term + 3. If the sequence is 10,13 what is the value of the 50th term?

• 16

• 157

• -9

• 72