SOLUTION: I need help with these functions. Please help! 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 functi

Algebra ->  Algebra  -> Exponential-and-logarithmic-functions -> SOLUTION: I need help with these functions. Please help! 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 functi      Log On

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Question 151082: I need help with these functions. Please help!


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.


f(x)=5x-3
f(x)=x^2-3x+2
f(x)=2x^3+7x^2-x-1
f(x)=10^x
f(x)=1n x

Thank you in advance to anyone who can help me. I really appreciate your help and patience.
Answer by vleith(2517) About Me  (Show Source):
You can put this solution on YOUR website!
You need to plug each of the 5 given values into each of the 5 given equations.
Make a table, then evaluate at each given input. Then plot the 5 points and make a statement about how they plots differ.
Let's do the first one
f%28x%29=5x-3
when x = 1 f(x)=5(1)-3 = 2
x =2 f(x)= 5(2)-3 = 7
X = 4 f(x)=20-3 = 17
x = 8 f(x) =37
x=16 f(x) = 60-3 = 57
graph%28400%2C400%2C+-20%2C+20%2C+-10%2C+60%2C+5x-3%29
So this plot shows a constant rate of change
use the same method to make a table for 5 points on each of the other expressions.
Here are plots for the next 3
x^2-3x+2
graph%28400%2C400%2C+-20%2C+20%2C+-10%2C+60%2C+x%5E2-3x%2B2%29
2x^3+7x^2-x-1
graph%28400%2C400%2C+-20%2C+20%2C+-10%2C+60%2C+2x%5E3%2B7x%5E2-x-1%29
10^x
graph%28400%2C400%2C+-20%2C+20%2C+-10%2C+60%2C+10%5Ex%29