Which graph represents an exponential function? On a coordinate plane, a line curves upwards gradually. On a coordinate plane, a curve decreases, changes directions, and then decreases again. On a coordinate plane, a line is level and then curves upwards rapidly. On a coordinate plane, 2 curves mirror each other in quadrants 1 and 3.

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lucic lucic · Answer 1 · 2019-12-09T14:03:06+01:00

On a coordinate plane, 2 curves mirror each other in quadrants 1 and 3

Step-by-step explanation:

A exponential function is one in which the variable appears in the exponent.

The common form of exponential functions is y=b^x where b is a positive number.

Where b >1 exponential growth occurs and where b<1, an exponential decay is observed.

Points (0,1) and (1,b) are always on the graph of the function y=b^x

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nishantwork777 nishantwork777 · Answer 2 · 2021-11-22T08:27:14+01:00

The options are not clear but we can describe exponential function as follows

Exponential function are of the form

[tex]y = b^x \; where\; b >0 = Exponentially\; Growing\\b<0 \; Exponentially\; Decaying \\\\x = Exponent[/tex]

The exponential functions are curved upwards gradually (figure attached )

Figure 1 (graph attached ) Shows the graph of function

[tex]y = 2^x[/tex]

We can conclude that exponential function is a monotonous function and

depending upon the value of b the exponential function is either continuously increasing or continuously decreasing

[tex]y = -3^x[/tex]

as shown by Figure 2 (figure attached )

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