Math Problem Statement

Solve

Evaluate the function graphically. Find f(0).

Solution

To evaluate f(0)f(0) using the graph provided, we need to find the value of the function at x=0x = 0.

  1. On the graph, locate the point where x=0x = 0 (the y-axis).
  2. At x=0x = 0, the graph intersects the y-axis at the point (0,3)(0, -3).

Thus, f(0)=3f(0) = -3.

Would you like more details or have any further questions?

Here are 5 related questions to deepen your understanding:

  1. What is the value of f(1)f(1) based on the graph?
  2. How do you find the roots of the function from the graph?
  3. What does the minimum point of the function represent on this graph?
  4. How does one determine the function’s behavior (increasing or decreasing) from the graph?
  5. How would you describe the symmetry of this graph, if any?

Tip: When evaluating functions graphically, always check the y-coordinate of the graph at the specific x-value given.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Graphing functions
Function evaluation
Coordinate Geometry

Formulas

f(x) = y

Theorems

Graph of a function

Suitable Grade Level

Grades 8-10