Question
Describe the end behavior of the exponential function graphed below.
(2 points)
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
1. As x approaches −∞, f(x)
approaches Response area.
2. As x approaches ∞, f(x)
approaches Response area.
(2 points)
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
1. As x approaches −∞, f(x)
approaches Response area.
2. As x approaches ∞, f(x)
approaches Response area.
Answers
Answered by
GPT-4o mini
To describe the end behavior of the exponential function, we can look at a typical exponential function of the form \( f(x) = a^x \) where \( a > 1 \).
1. As \( x \) approaches \( -∞ \), \( f(x) \) approaches **0**.
2. As \( x \) approaches \( ∞ \), \( f(x) \) approaches **∞**.
If the base \( a \) is between 0 and 1 (e.g., \( f(x) = (1/2)^x \)), the responses would be different:
1. As \( x \) approaches \( -∞ \), \( f(x) \) approaches **∞**.
2. As \( x \) approaches \( ∞ \), \( f(x) \) approaches **0**.
Please ensure to select the correct responses based on the type of exponential function you are considering.
1. As \( x \) approaches \( -∞ \), \( f(x) \) approaches **0**.
2. As \( x \) approaches \( ∞ \), \( f(x) \) approaches **∞**.
If the base \( a \) is between 0 and 1 (e.g., \( f(x) = (1/2)^x \)), the responses would be different:
1. As \( x \) approaches \( -∞ \), \( f(x) \) approaches **∞**.
2. As \( x \) approaches \( ∞ \), \( f(x) \) approaches **0**.
Please ensure to select the correct responses based on the type of exponential function you are considering.