Answer:
Explanation:
The graph of y = b^x, where b is a positive number less than 1, will have a curve that starts high on the left-hand side and gradually decreases towards the x-axis as x increases. As x approaches infinity, the curve will approach but never reach the x-axis.
The reason for this shape is that as x gets larger, the value of b^x gets smaller and smaller because b is less than 1. As a result, the curve gradually approaches the x-axis but never actually reaches it.
The graph of y = x^2 does not hit the x-axis to the right of the y-axis (i.e., for x > 0) because the square of any non-zero real number is positive. Therefore, the value of y = x^2 is always positive when x is non-zero, which means that the graph never intersects the x-axis to the right of the y-axis. However, it does intersect the x-axis at the origin (x = 0).