SOLUTION: I am having trouble getting these two. Can someone please help me...please..Thank you..Evaluate the functions for the values of x given as 1, 2, 4, 8, and 16. Describe the differen

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: I am having trouble getting these two. Can someone please help me...please..Thank you..Evaluate the functions for the values of x given as 1, 2, 4, 8, and 16. Describe the differen      Log On


   

Question 173796: I am having trouble getting these two. Can someone please help me...please..Thank you..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.
3.f(x) = 2x3 + 7x2 - x - 1
5.f(x) = ln x
Answer by stanbon(75887) About Me  (Show Source):
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I am having trouble getting these two. Can someone please help me...please..Thank you..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.
3.f(x) = 2x^3 + 7x^2 - x - 1
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f(1) = 2+7-1-1 = 7
f(2) = 2*8+7*4-2-1 = 16+28-2-1 =41
f(4) = 2*64 + 7*16 - 4 -1 = 235
etc.
The function is increasing in the interval x=1 to x = 16
graph%28400%2C300%2C-5%2C20%2C-5%2C300%2C2x%5E3%2B7x%5E2-x-1%29
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5.f(x) = ln x
f(1) = ln (1) = 0
f(2) = ln (2) = 0.653..
f(4) = 1.386...
f(8) = 2.079...
f(16) = 2.773...
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The functions is slowly increasing over the interval x = 1 to x = 16
graph%28400%2C300%2C-5%2C20%2C-2%2C5%2Cln%28x%29%29
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Cheers,
stan H.