Math Problem Statement

The graph of y = h(x) is shown below. Find h(5).

The graph of y = h(x) is shown below. Find h(5).

Solution

To find h(5)h(5) from the graph, you need to locate the point where x=5x = 5 and then find the corresponding yy-value on the curve.

  1. From the graph, when x=5x = 5, the curve is at y=0y = 0.

Thus, h(5)=0h(5) = 0.

Would you like a further explanation or have any questions?

Here are five related questions:

  1. What is h(0)h(0) based on the graph?
  2. How do you find the minimum value of h(x)h(x)?
  3. Can you determine the symmetry of the graph? If so, is it symmetric about the y-axis?
  4. What are the x-intercepts of the function h(x)h(x)?
  5. Can you estimate the value of h(10)h(10) from the graph?

Tip: Always look at the axes carefully to ensure correct interpretation of values in graph problems.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Graph Interpretation
Functions

Formulas

Reading the value of a function from its graph

Theorems

Basic graphing principles

Suitable Grade Level

Grades 7-9