Math Problem Statement

Solve h(x) = 3 using the provided table of values for x and h(x). Give the answers in ascending order.

Solution

The given problem asks to solve for h(x)=3h(x) = 3 using the provided table of values.

Table Overview:

  • The xx-values: 3,2,1,0,1,2,3-3, -2, -1, 0, 1, 2, 3
  • The h(x)h(x)-values: 3,2,3,1,4,2,03, 2, 3, 1, 4, -2, 0

Step 1: Identify when h(x)=3h(x) = 3

From the table, we observe:

  • When x=3x = -3, h(x)=3h(x) = 3
  • When x=1x = -1, h(x)=3h(x) = 3

Step 2: Arrange the solutions

The two solutions for h(x)=3h(x) = 3 are x1=3x_1 = -3 and x2=1x_2 = -1, listed in ascending order.

So the answers are:

  • x1=3x_1 = -3
  • x2=1x_2 = -1

Would you like further clarification or more details? Here are 5 questions to expand the concept:

  1. How would the solution change if you were asked to solve for h(x)=1h(x) = 1?
  2. What is the domain and range of the function h(x)h(x) as given by the table?
  3. How would you interpret the meaning of h(x)=2h(x) = -2 using this table?
  4. How would you graph the function based on the table values?
  5. Can you determine if h(x)h(x) is injective (one-to-one) from the table?

Tip: Always check the table values carefully to match the correct function value with its corresponding xx-value when solving problems based on function tables.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Functions
Table of Values
Solving Equations

Formulas

-

Theorems

-

Suitable Grade Level

Grades 6-8