The table below represents a function. x 1 2 3 4 5 y 1 16 64 256 1,024 Which statement would best describe the graph of the function? The graph is a straight line that has a slope of 8. The graph is a horizontal line at y = 16. The graph starts flat but curves steeply upward. The graph is a parabola that opens upward.
Given the table representing a function. x 1 2 3 4 5 y 1 16 64 256 1,024
As can be seen from the table, from the value of x = 2, the value of y is given by [tex]y=4^x[/tex] i.e. [tex]4^2=16 \\ 4^3=64 \\ 4^4=256 \\ 4^5=1,024[/tex] This represents an exponential function.
Therefore, the statement
that would best describe the graph of the function is "The graph starts flat but curves steeply upward."
