SOLUTION: You know I really need you guys help I try and try I'm 60 years old trying to learn this math I do get some but not all so please help me I really need help thank you so Evalua

Algebra ->  Functions -> SOLUTION: You know I really need you guys help I try and try I'm 60 years old trying to learn this math I do get some but not all so please help me I really need help thank you so Evalua      Log On


   

Question 174101This question is from textbook
: You know I really need you guys help I try and try I'm 60 years old trying to learn this math I do get some but not all so please help me I really need help thank you so
Evaluate the functions for the values of x given as 1, 2, 4, 8, and 16. Describe the differences in the rate at which each function changes with increasing values of x. much for taking time out of your busy schdule to assist me. truely I'm greatful to you.
f(x) = 5x -3
f(x) = x^2 -3x + 2
f(x) = 2x^3 + 7x^2 -x -1
can you show me step by step I'm very greatful for your help
This question is from textbook

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
First, congratulations on keeping your mind sharp by learning new (math) skills.
First, we'll do some of the evaluations:
f%28x%29+=+5x-3 Substitute x = 1:
f%281%29+=+5%281%29-3
f%281%29+=+5-3
highlight%28f%281%29+=+2%29
Substitute x = 16:
f%2816%29+=+5%2816%29-3
f%2816%29+=+80-3
highlight%28f%2816%29+=+77%29
Repeat the above proceess, substituting, in turn, x=2, x=4, x=8.
--------------
f%28x%29+=+x%5E2-3x%2B2 Substitute x = 1
f%281%29+=+1%5E2-3%281%29%2B2
f%281%29+=+1-3%2B2
highlight%28f%281%29+=+0%29
---------------
Substitute x = 16:
f%2816%29+=+%2816%29%5E2-3%2816%29%2B2
f%2816%29+=+256-48%2B2
highlight%28f%2816%29+=+210%29
Repeat the above process, substituting, in turn, x=2, x=4, x=8.
-----------------
f%28x%29+=+2x%5E3%2B7x%5E2-x-1 Substitute x = 2:
f%282%29+=+2%282%29%5E3%2B7%282%29%5E2-2-1
f%282%29+=+2%288%29%2B7%284%29-2-1
f%282%29+=+16%2B28-3
highlight%28f%282%29+=+41%29
Substitute x = 8:
f%288%29+=+2%288%29%5E3%2B7%288%29%5E2-8-1
f%288%29+=+2%28512%29%2B7%2864%29-8-1
f%288%29+=+1024%2B448-9
f%288%29+=+1472-9
highlight%28f%288%29+=+1463%29
Repeat the above prcess, substituting, in turn, x=1, x=4, x=16.
----------------------
To answer the second part of the question, it is probably best to graph each of the functions (Red: f%28x%29+=+5x-3), (Green: f%28x%29+=+x%5E2-3x%2B2), (Blue: f%28x%29+=+2x%5E3%2B7x%5E2-x-1) and examine the graphs to determine their behaviour at each of the specified values of the independent variable (x=1, x=2, x=4, x=8, x=16).
graph%28400%2C400%2C-5%2C10%2C-3%2C20%2C5x-3%2Cx%5E2-3x%2B2%2C2x%5E3%2B7x%5E2-x-1%29