Algebra-1

To determine which equation matches the graph:

The function is an exponential function that increases and approaches infinity.

It intersects the y-axis at (0, 1).

 

Let’s examine each option:

A.  :

This function represents exponential decay with base , but with a negative sign. As x increases, approaches 0, and the negative sign makes increase towards 0 from below.

It intersects the y-axis at (0, -1) because  . This does not match the description of increasing towards infinity or intersecting the y-axis at (0, 1).

 

B.:

This is an exponential decay function with base . As x increases,

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