Question

1. Define each term and explain how they are related.

a. solution b. root c. zero of a function d. x-intercept

Short answer

Explained in step 3.

Step-by-step solution

Step-1 – Given

Given terms are:

a. solution b. root c. zero of a function d. x-intercept

Step-2 – To determine

Define each term and explain how they are related.

Step-3 – Explanation

Solution: The real/imaginary values, which satisfy the function.

Root: The solutions of a quadratic equation are called the roots of the equation.

Zeros of the function: The zeros of the function are the x-intercepts of its graph.

x-intercept: The x-value of the coordinate, where the graph of the function cuts/touches the x-axis.

For real numbers all terms have the same meaning.

For complex number, x-intercept does not exist. So, zeros of function will not exist either. In that case solution and root are the same.