Q1. - Algebra 2

Question

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

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

Step-by-Step Solution

Answer

Explained in step 3. 

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.