What function equation is represented by the graph? f(x)=−2x−3 f(x)=−2x−2 f(x)=2x−3 f(x)=2x−2

Step-by-step explanation:

This is an exponential function, in these kind of function the independent variable appears in the exponent and its base is a constant. Its expression is given by:

If the exponential function is an increasing function, and if the exponential function is a decreasing function, on the other hand, exponential functions always pass through the points (0, 1) and (1, a), because:

Considering the previous information, you can conclude:

Because from the graph, you can note that it is an increasing function.

Therefore, from the options:

On the other hand the graph pass through the point (0, -2), this means that the graph was translate h units down.

So, let's find h:

Solving for h:

Hence, the equation represented by the graph is:

I attached you the graph of this function, so you can corroborate the answer easily.