- **Given Function:**
- p(x) = 5x^3 - 2x^2 + 3x - 2
- **Evaluation at x=1:**
- To find the value of p(x) at x=1, substitute x=1 into the given function.
- p(1) = 5(1)^3 - 2(1)^2 + 3(1) - 2
- p(1) = 5 - 2 + 3 - 2
- p(1) = 4
- **Explanation:**
- When x=1, the value of the polynomial function p(x) is 4.
- This means that when x=1, the function evaluates to 4.
- The coefficients of each term in the polynomial determine the effect of x on the value of the function.
- In this case, the cubic term has the highest impact on the value of the function, followed by the quadratic and linear terms.
- By substituting x=1 into the function, we can calculate the specific value of the function at that point.
- **Conclusion:**
- Therefore, p(1) = 4 for the given polynomial function p(x) = 5x^3 - 2x^2 + 3x - 2 when x=1.