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?

x f(x) g(x)
1 2 2
2 5 4
3 10 8
4 17 16
5 26 32
a) f(x), because it grows slower than g(x)
b) f(x), because it eventually intersects g(x)
c) g(x), because it grows faster than f(x)
d) g(x), because it will not intersect f(x)

Answer 1

@jim_thompson5910 @campbell_st

Answer 2

@netlopes1

Answer 3

@amistre64

Answer 4

@Directrix

Answer 5

@ShadowLegendX

Answer 6

please help i have no idea how to do this:((

Answer 7

Only the answer? "C"

Answer 8

looking at f(x) it looks like

\[f(x) = x^2 + 1\]

and the other is

\[g(x) = 2^x\]

which is the exponential... and why... what is happening as x gets larger