Carl K. answered • 02/14/20

BS in Chemistry and Mathematics with honors, MD

For X=0 Y=2.

As x increases, y decreases, but will never become 0.

As x decreases, y increases rapidly.

Try several positive and negative data points for x, such as x =2, x=4, x=6 and x=-2 x=-4 and x=-6

You'll see a smooth curve.

For the family of curves Y=ca^{x}, where c is a constant and a is any real number, for a value of a=1 the graph is parallel to the x-axis, since 1 to any power is always 1.

Any value of a>1 will give a graph which is concave up and pointed to the right.

Any value of a>1 will give a graph which is concave upward and pointed to the left.

The y intercept will always be c.

Feel free to message me if you do not understand. It is not possible to show graphs in this format