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The table below represents a function.

heres the table

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.

Respuesta :

The graph starts flat but then curves steeply upwards. You can tell this by the sudden jumps in y-coordinates, illustrating that it keeps going further up faster and faster as the x-coordinates progress steadily. 

Answer:

(c) The graph starts flat but curves steeply upward.

Step-by-step explanation:

(a) The graph is a straight line that has a slope of 8

In the table, the value y increases. there is no constant increase in y

So The graph is not a straight line

(b) The graph is a horizontal line at y = 16

For y=16 graph, the value of y remains the same

The value of y changes in the table

So the graph is not a horizontal line

(c) The graph starts flat but curves steeply upward.

The value of y on the table increases rapidly. So we can say that graph starts flat and curves steeply upward.

(d) The graph is a parabola that opens upward.

There is no vertex mentioned in the table. the y values goes on increasing.

In parabola, the graph increases and then decreases or vice versa .

So the graph of given table is not a parabola