A quadratic function and an exponential function are graphed below. Which graph most likely represents the exponential function?

graph of function g of x is a curve which joins the ordered pair 0, 1 and 1, 2 and 3, 8 and 5, 32 and 6, 64. Graph of function f of x is a curve which joins the ordered pair 0, 1 and 1, 2 and 3, 10 and 5, 26 and 6, 37

f (x), because an increasing quadratic function will eventually exceed an increasing exponential function

g (x), because an increasing exponential function will eventually exceed an increasing quadratic function

f (x), because an increasing exponential function will always exceeds an increasing quadratic function until their graphs intersect

g (x), because an increasing quadratic function will always exceeds an increasing exponential function until their graphs intersect

Question

Mathematics

Francesca Mercer

26 October, 23:22

A quadratic function and an exponential function are graphed below. Which graph most likely represents the exponential function?

graph of function g of x is a curve which joins the ordered pair 0, 1 and 1, 2 and 3, 8 and 5, 32 and 6, 64. Graph of function f of x is a curve which joins the ordered pair 0, 1 and 1, 2 and 3, 10 and 5, 26 and 6, 37

f (x), because an increasing quadratic function will eventually exceed an increasing exponential function

g (x), because an increasing exponential function will eventually exceed an increasing quadratic function

f (x), because an increasing exponential function will always exceeds an increasing quadratic function until their graphs intersect

g (x), because an increasing quadratic function will always exceeds an increasing exponential function until their graphs intersect

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Answers (1)

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Kiana · Answer 1

The graph that most likely represents the exponential function is that "f (x), because an increasing exponential function will always exceeds an increasing quadratic function until their graphs intersect."

g (x) has the ordered pairs 0, 1 and 1, 2 and 3, 8 and 5, 32 and 6, 64.

f (x) has the ordered pair 0, 1 and 1, 2 and 3, 10 and 5, 26 and 6, 37.

Both functions are increasing.