Question

The table below shows the values of f(x) and g(x) for different values of x. One of the functions is a quadratic function and the other is an exponential function. Which function is most likely increasing exponentially? (4 points)

g(x), f(x), x

1 3 3
2 6 9
3 11 27
4 18 81
5 27 243


Question 13 options:

1) f(x) because it eventually exceeds g(x)
2) g(x) because it eventually exceeds f(x)
3) f(x) because it eventually intersects g(x)
4) g(x) because it will not intersect f(x)

Answer 1

@agreene

Answer 2

@robtobey @jim_thompson5910

Answer 3

exponential functions grow much faster than quadratic functions

Answer 4

example:

http://dj1hlxw0wr920.cloudfront.net/userfiles/wyzfiles/a77fd15d-d60e-4547-9cd4-c64477241178.gif

the red exponential curve eventually outpaces the blue quadratic (beyond x = 4)

Answer 5

f(x) is exponential?

Answer 6

@jim_thompson5910

Answer 7

at the top of the table it says "g(x), f(x), x"

is that out of order?

Answer 8

I think the true order should be "x, f(x), g(x)"

Answer 9

yes @jim_thompson5910

Answer 10

so in that case it is A