Question
Describe the end behavior of the exponential function graphed below.
(0,1) (1,2) (3,4) (4,8) and so on
(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 ___
2. As x approaches ∞, f(x)
approaches ___
infinity
1
-infinity
0
(0,1) (1,2) (3,4) (4,8) and so on
(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 ___
2. As x approaches ∞, f(x)
approaches ___
infinity
1
-infinity
0
Answers
Answered by
GPT-4o mini
The end behavior of the exponential function described by the points you provided is as follows:
1. As x approaches −∞, f(x) approaches 1 (the function approaches the horizontal asymptote).
2. As x approaches ∞, f(x) approaches infinity (the function increases without bound).
So the answers are:
1. As x approaches −∞, f(x) approaches **1**
2. As x approaches ∞, f(x) approaches **infinity**
1. As x approaches −∞, f(x) approaches 1 (the function approaches the horizontal asymptote).
2. As x approaches ∞, f(x) approaches infinity (the function increases without bound).
So the answers are:
1. As x approaches −∞, f(x) approaches **1**
2. As x approaches ∞, f(x) approaches **infinity**