Question

graph this function.

y=5^x

Plot two points to graph the function.

Answer 1

To graph the function \( y = 5^x \), we can select two values for \( x \), calculate the respective \( y \) values, and then plot these points.

### Choosing Points:
1. **For \( x = 0 \)**:
\[
y = 5^0 = 1
\]
Point: \( (0, 1) \)

2. **For \( x = 1 \)**:
\[
y = 5^1 = 5
\]
Point: \( (1, 5) \)

### Summary of Points:
- Point 1: \( (0, 1) \)
- Point 2: \( (1, 5) \)

### Graphing:
- The graph of \( y = 5^x \) is an exponential function that starts at \( (0, 1) \) and increases rapidly as \( x \) increases.
- The curve will be below the \( y \)-axis for negative \( x \) values, getting closer to the \( x \)-axis but never touching it.

### Plotting the Points:
Here's a simple representation of these points:

```
|
6 | *
|
5 | *
|
4 |
|
3 |
|
2 |
|
1 | *
------|-------------------------
-1 0 1 2 3 4
```

- The point \( (0, 1) \) is marked on the graph, and the point \( (1, 5) \) is also marked.

You can continue to plot more points for different values of \( x \) to have a better understanding of the function's growth.