https://file.aiquickdraw.com/mathbot/file/1727120300644l8ac3lmo.jpg

To evaluate these functions in Excel, you'll need to input the formulas corresponding to each function and compute their values for the given inputs. Here's a step-by-step guide for each problem:

### 1. **Function: \( f(x) = 2(3x - 6) + 7 \)**
   - Excel formula: `=2*(3*A1 - 6) + 7`
   - Where `A1` is the cell containing the value of \(x\). You can replace `A1` with the specific value (e.g., `7` or `-3`).
   - Example: If you want to find \( f(7) \), enter this formula into a cell: `=2*(3*7 - 6) + 7`.

### 2. **Function: \( g(x) = \frac{7(3x + 5)}{x} + 5 \)**
   - Excel formula: `=(7*(3*A1 + 5)/A1) + 5`
   - Ensure that the cell contains the value of \(x\) in place of `A1`.
   - Example: To find \( g(2) \), input `= (7*(3*2 + 5)/2) + 5` into Excel.

### 3. **Function: \( f(x) = \frac{2x}{5} + \frac{8(4x - 7)}{2x} \)**
   - Excel formula: `= (2*A1/5) + (8*(4*A1 - 7)/(2*A1))`
   - Enter \(x\) into the appropriate cell (e.g., for \( f(-2) \), replace `A1` with `-2`).

### 4. **Function: \( c(x) = 5(1.23)^{3x} \)**
   - Excel formula: `= 5*(1.23)^(3*A1)`
   - Replace `A1` with the cell holding the desired \(x\) value.
   - Example: To compute \( c(-2) \), use `= 5*(1.23)^(3*(-2))`.

### 5. **Function: \( f(x) = 3^{x - 2} \)**
   - Excel formula: `= 3^(A1 - 2)`
   - Again, replace `A1` with the specific \(x\) value.

---

### **Graphing in Excel** (for problems 6 and 7):
- **Graph for Problem 1**:
   1. Create a column of \(x\) values (e.g., from -10 to 10).
   2. In the adjacent column, use the formula `= 2*(3*A1 - 6) + 7` where \(A1\) contains each \(x\) value.
   3. Select both columns and insert a graph (Insert → Chart → Scatter Plot).

- **Graph for Problem 4**:
   1. Similar steps as above, create a range of \(x\) values.
   2. Use the formula `= 5*(1.23)^(3*A1)` for the second column.
   3. Insert a scatter plot for the data.

Let me know if you'd like further details on how to set up these computations or graphs in Excel! Here are some related questions to help:

1. How do you calculate other values of \( f(x) \) in Excel?
2. What Excel formula would you use to create a table of function values?
3. How do you adjust graph axes for better visualization?
4. How can you verify the results using Excel's built-in functions?
5. What happens if Excel gives an error for certain values?

**Tip**: Use Excel's **fill handle** to quickly compute function values for multiple \(x\) inputs after entering the formula for the first cell.

Learn how to evaluate and graph functions like f(x) = 2(3x - 6) + 7, g(x) = (7(3x + 5)/x) + 5, and more using Excel. This guide provides Excel formulas for quick calculations and step-by-step graphing techniques. Ideal for high school students (Grades 9-12).

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation