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Andrej [43]
1 year ago
9

F(1) =3 and f (n+1)= f(n)^2+3 then find the value of f(4)

Mathematics
1 answer:
Tcecarenko [31]1 year ago
6 0

Answer:

f(4) = 1612

Step-by-step explanation:

using the recursive formula and f(1) = 3 , then

f(2) = f(1)² + 3 = 3² + 3 = 9 + 3 = 12

f(3) = f(2)² + 3 = 144 + 3 = 147

f(4) = f(3)² + 3 = 147² + 3 = 1609 + 3 = 1612

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PLEASE HELP ME WHOEVER HELPS I WILL MARK BRAINLEST :)
julsineya [31]

Remember the shortcut way for graphing quadratic equations

  • A quadratic function has graph as parabola
  • Hence on both sides of vertex the parabola is symmetric and axis of symmetry is vertex x values .
  • y on both sides for -x and +x is same

#1

  • y=2(x-3)²-1

Vertex

  • (h,k)=(3,-1)

As a is positive parabola facing upwards

Find y for same x distance from vertex

I took 3-1=2 and 3+1=4

  • f(2)=2(2-3)²-1=2(-1)²-1=2-1=1
  • f(4)=2(4-3)²-1=1

Now plot vertex and these two points (2,1) and (4,1) on graph then draw a parabola by freehand

#2

  • y=(x-2)(x+4)
  • y=x²+4x-2x-8
  • y=x²+2x-8

Convert to vertex form

  • y=x²+2x+1-9
  • y=(x+1)²-9

Vertex at (-1,-9)

Same take two equidistant x values

Let's take -1-1=-2 and -1+1 =0

  • f(-2)=(-2+1)²-9=1-9=-8
  • f(0)=(1)²-9=-8

Put (-1,-9),(-2,-8),(0,-8) on graph and draw a freehand parabola

#3.

Yes it can be verified by finding the coordinate theoretically on putting them on function then can be verified through putting them on graph whether they matches or not

8 0
2 years ago
if there both consecutive doesn't that mean that there both -9 so how is one bigger an one smaller.... ​
MrRissso [65]

Answer:

-14

Step-by-step explanation:

have a great day good luck

5 0
3 years ago
Expand And Simplify The Following:
Georgia [21]
For all the questions, we will be using the FOIL pattern.
1. (x+3)(x-3)(3x+2)
(x^2-3x+3x-9)(3x+2)
(x^2-9)(3x+2)
3x^3+2x^2-27x-18
2. (2x+1)(x-2)(x+3)
(2x^2-4x+x-2)(x+3)
(2x^2-3x-2)(x+3)
2x^3+3x^2-11x-6
3. (x-3)(2x+1)(3x-2)
(2x^2+x-6x-3)(3x-2)
(2x^2-5x-3)(3x-2)
6x^3-19x^2+x+6
Hope this helped!
8 0
3 years ago
Read 2 more answers
What is the relationship between 5.34×1055.34×105 and 5.34×10−25.34×10−2 ? Select from the drop-down menus to correctly complete
Anton [14]
The relationship between 5.34×105 and 5.34×10−2 would be that the former number is 10000000 times larger than the latter value. We can obtain this by dividing 5.34×105 and 5.34×10−2 where the quotient would be 10000000. Hope this answers the question. Have a nice day.
5 0
3 years ago
Read 2 more answers
(2n-9) -5 (-2.4n+4) ...
tatiyna

Answer:

-3< 2-x

Step-by-step explanation:

7 0
3 years ago
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