the table below represents a function.\n|x|1|2|3|4|5|\n|y|1|16|64|256|1,024|\nwhich statement would best…

Explanation:

Step1: Analyze the function values

Observe the $y$-values: $1, 16, 64, 256, 1024$. We can note that $y = 4^{x - 1}$ when $x=1,y = 4^{1 - 1}=1$; when $x = 2,y=4^{2 - 1}=4$; when $x=3,y = 4^{3 - 1}=16$; when $x = 4,y=4^{4 - 1}=64$; when $x=5,y=4^{5 - 1}=256$. This is an exponential - type function.

Step2: Recall the shape of different function graphs

A linear function has a constant slope and its graph is a straight - line. A horizontal line has a slope of 0. A parabola has the form $y=ax^{2}+bx + c$. An exponential function of the form $y = a\cdot b^{x}$ ($a\neq0,b>0,b\neq1$) starts relatively flat for small $x$ - values and then curves steeply upward as $x$ increases.

Answer:

The graph starts flat but curves steeply upward.