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1b. Graph f(x)=e^x . Label 2 points. a. x & y & & &
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Robertoélite · Tutor durante 8 años
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To graph the function \( f(x) = e^x \), we can choose two points to label on the graph. Let's select:<br /><br />1. When \( x = 0 \):<br /> - \( y = e^0 = 1 \)<br /> - Point: \( (0, 1) \)<br /><br />2. When \( x = 1 \):<br /> - \( y = e^1 = e \approx 2.718 \)<br /> - Point: \( (1, e) \)<br /><br />Now, let's address the other parts of the question:<br /><br />a. **Domain**: The domain of \( f(x) = e^x \) is all real numbers, so it is \( (-\infty, \infty) \).<br /><br />b. **Range**: The range of \( f(x) = e^x \) is all positive real numbers, so it is \( (0, \infty) \).<br /><br />c. **Asymptote**: The horizontal asymptote of \( f(x) = e^x \) is the x-axis, or \( y = 0 \).
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