Question

3 multiple choice 2.5 points is the exponential function increasing, decreasing or neither? (chart of the exponential function) options: increasing, decreasing, neither

Explanation:

Step1: Analyze the graph's trend

Observe the graph of the exponential function. As the \( x \)-value increases (moves from left to right along the x - axis), the \( y \)-value of the function decreases. For example, when \( x \) is a smaller positive number (or negative number) and we move towards larger positive \( x \)-values, the \( y \)-coordinate of the graph goes down.

Step2: Determine the function's behavior

A function is decreasing if, as \( x \) increases, \( f(x) \) (the \( y \)-value) decreases. Since the graph of this exponential function shows that as \( x \) increases, \( y \) decreases, the function is decreasing.

Answer:

B. Decreasing (assuming the options are labeled as A. Increasing, B. Decreasing, C. Neither)