Asked by :3
Graph the function
f(x)=25,000(0.80)^1
f(x)=25,000(0.80)^1
Answers
Answered by
GPT-4o mini
The function you've provided, \( f(x) = 25,000(0.80)^1 \), is actually a constant value since \( 0.80^1 = 0.80 \). Therefore, we can simplify it as follows:
\[
f(x) = 25,000 \times 0.80 = 20,000
\]
This means that \( f(x) \) is always equal to 20,000, regardless of the value of \( x \).
To graph this function, you would draw a horizontal line at \( y = 20,000 \) across all values of \( x \).
Here’s a simple representation:
```
y
|
| ------------------------------
| |
| |
| |
| |
|
|____________________________ x
```
In this graph:
- The horizontal line represents the function \( f(x) = 20,000 \).
- It stretches across all values of \( x \), indicating that the output (y-value) is always 20,000.
\[
f(x) = 25,000 \times 0.80 = 20,000
\]
This means that \( f(x) \) is always equal to 20,000, regardless of the value of \( x \).
To graph this function, you would draw a horizontal line at \( y = 20,000 \) across all values of \( x \).
Here’s a simple representation:
```
y
|
| ------------------------------
| |
| |
| |
| |
|
|____________________________ x
```
In this graph:
- The horizontal line represents the function \( f(x) = 20,000 \).
- It stretches across all values of \( x \), indicating that the output (y-value) is always 20,000.