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Chapter 6: Q1. (page 297)

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

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

Short Answer

Expert verified

Explained in step 3.

Step by step solution

01

Step-1 – Given

Given terms are:

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

02

Step-2 – To determine

Define each term and explain how they are related.

03

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.

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Most popular questions from this chapter

Solve each equation by graphing. If exact roots cannot be found, state the consecutive integers between which the roots are located.

25+x2+10x=0

Find the coordinates of the maximum or minimum value of each quadratic equation to the nearest hundredth.

fx=3x2-7x+2

Determine whether each function has a maximum or minimum value. Then find the maximum or minimum value of the function.

f(x)=4x2+12x+9

Use the related graph of each equation to determine its solutions. x2-6x+9=0

Complete parts a-c for each quadratic function.

  1. Find y-intercept, the equation of the axis of symmetry, and the x-coordinate of the vertex.
  2. Make a table of values that includes the vertex.
  3. Use this information to graph the function.
  4. f(x)=-4x2
See all solutions

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