https://file.aiquickdraw.com/mathbot/file/1726368610759pk74pe7a.jpg

The graph you have provided represents an exponential growth function, as noted in the description at the bottom.

### Parent Function
The exponential function has the general form:
\[
f(x) = b^x
\]
where \(b > 1\) for exponential growth. From the graph, it appears to have a standard exponential growth curve. While the exact base \(b\) is not provided explicitly, the function is written as an exponential growth function.

### Domain (D):
The domain of an exponential function like this is all real numbers:
\[
D: (-\infty, \infty)
\]

### Range (R):
For an exponential growth function, the range is restricted to positive values, as the function never reaches zero but grows indefinitely as \(x\) increases:
\[
R: (0, \infty)
\]

Would you like more details or have any specific questions?

Here are 5 related questions for further exploration:
1. What is the significance of the base \(b\) in an exponential function?
2. How does changing the base \(b\) affect the shape of the exponential curve?
3. What is the asymptote of the given exponential function?
4. How does the exponential function behave for negative values of \(x\)?
5. How can you transform this exponential function with shifts or stretches?

**Tip:** Exponential functions have a horizontal asymptote at \(y = 0\), which they approach but never reach as \(x\) decreases.

Based on the graph provided by the user, determine the domain, range, and describe the parent function of the exponential growth function.

Explore the exponential growth function f(x) = b^x, its domain, and range. This function demonstrates key properties of exponential growth, with a domain of all real numbers and a range restricted to positive values. Suitable for high school students.

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