f («) — а? + 8

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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How do I find the domain and range of the attached problem?

 

The function shown in the image is \( f(x) = x^2 + 8 \).

This equation represents a quadratic function where:

- \( f(x) \) is the function notation, describing output values.
- \( x^2 \) is the variable term, indicating that the function is quadratic, making it a parabola when graphed.
- \( + 8 \) is the constant term, which shifts the graph upward by 8 units.

The vertex of this parabola is at the point \( (0, 8) \), and it opens upwards. The graph is symmetric with respect to the y-axis.
Transcribed Image Text:The function shown in the image is \( f(x) = x^2 + 8 \). This equation represents a quadratic function where: - \( f(x) \) is the function notation, describing output values. - \( x^2 \) is the variable term, indicating that the function is quadratic, making it a parabola when graphed. - \( + 8 \) is the constant term, which shifts the graph upward by 8 units. The vertex of this parabola is at the point \( (0, 8) \), and it opens upwards. The graph is symmetric with respect to the y-axis.
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Givenf(x)=x2+8

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