Which of the following functions grows the fastest as x grows without bound?
f(x)=x^2
h(x)=(sqrt x^4+2x)
They all grow at the same rate

Compare the growth rate of the functions f(x)=4^x and g(x)=(sqrt 16^x+2^x)
f(x) grows faster than g(x)
g(x) grows faster than f(x)MY ANSWER
f(x) and g(x) grow at the same rate
it cannot be determined

There is a graph that starts at (-4,0) it then goes to (-2,-2) it goes through (0,0) as it goes to (2,2) and ends at (4,0)
Where is this graph concave up?
(-4,-2) U (2,4)
(-4,0)
(0,4)

1. 👍 0
2. 👎 0
3. 👁 789
1. #1 ok
#2 4^x grows faster than any polynomial
#3 I think more likely (-4,0), as in
y = 2sin(pi/4 x)

http://www.wolframalpha.com/input/?i=2sin(pi%2F4+x)

1. 👍 0
2. 👎 0
posted by Steve
2. Thank you!

1. 👍 0
2. 👎 0
posted by Ke\$ha

## Similar Questions

Any short explanation for things I got wrong would be great, too, if possible! Thanks in advanced! :) 8. Which of the following functions grows the fastest? ***b(t)=t^4-3t+9 f(t)=2^t-t^3 h(t)=5^t+t^5 c(t)=sqrt(t^2-5t) d(t)=(1.1)^t

asked by Samantha on October 7, 2013
2. ### Math

Which of the following functions grows the fastest as x grows without bound? f(x) = x10 g(x) = ln(x10) h(x) = 10x They all grow at the same rate.

asked by Youngin on January 25, 2018
3. ### Help me check my calculus answers

1. Which of the following functions grows the fastest as x goes to infinity? - 2^x - 3^x - e^x inf f(x)/g(x) = 5 show? - g(x) grows faster than f(x) as x goes to infinity. - f(x) and g(x) grow at the same rate as x goes to

asked by Wiliam on July 6, 2018

1. Which of the following functions grows the fastest as x goes to infinity? - 2^x - 3^x - e^x (my answer) - x^20 2. Compare the rates of growth of f(x) = x + sinx and g(x) = x as x approaches infinity. - f(x) grows faster than

asked by Deondre on July 3, 2018

1. Evaluate: lim x->infinity(x^4-7x+9)/(4+5x+x^3) 0 1/4 1 4 ***The limit does not exist. 2. Evaluate: lim x->infinity (2^x+x^3)/(x^2+3^x) 0 1 3/2 ***2/3 The limit does not exist. 3. lim x->0 (x^3-7x+9)/(4^x+x^3) 0 1/4 1 ***9 The

asked by Samantha on October 7, 2013

1. Evaluate: lim x->infinity(x^4-7x+9)/(4+5x+x^3) 0 1/4 1 4 The limit does not exist. 2. Evaluate: lim x->infinity (2^x+x^3)/(x^2+3^x) 0 1 3/2 2/3 The limit does not exist. 3. lim x->0 (x^3-7x+9)/(4^x+x^3) 0 1/4 1 9 The limit does

asked by Samantha on October 6, 2013
7. ### Calculus

Which of the following functions grows the fastest as x goes to infinity? (2 points) f(x) = ex f(x) = 2x f(x) = 4x f(x) = e-2x

asked by Kim on July 29, 2018
8. ### Calculus

Which of the following functions grows the fastest as x goes to infinity? (2 points) f(x) = ln(x) f(x) = log2(x) f(x) = x2 f(x) = 2x

asked by Kim on July 29, 2018
9. ### Calculus

Which of the following functions grows the fastest as x goes to infinity? 3^x ln(x) e^4x x^10 I put e^4x but I thought that 3^x might have been it too. I know for sure that it is not ln(x) and x^10 because those grow much slower.

asked by Henry on February 20, 2016
10. ### Calculus

Which of the following functions grows the fastest as x goes to infinity? a) f(x) √x b) f(x) √(x+1) c) f(x) √(10x+1) d) They all grow at the same rate as x goes to infinity

asked by Alice on March 22, 2019

More Similar Questions