Math Problem Statement

Determine the function term corresponding to the displayed graph in 11a and 12.

Solution

It seems you've uploaded a photo containing mathematical graphs. From the text and the question, it appears to be related to determining the function corresponding to the displayed graphs.

Let's break this down based on the provided sections:

  • In section 11a, it asks to determine the function from the given graph.
  • In section 12, it focuses on a rational function form based on the behavior of the graph.

To analyze the first graph (11a), it seems to resemble a rational function due to the vertical and horizontal asymptotes. The shape of the curve suggests a rational function of the form:

f(x)=1xa+bf(x) = \frac{1}{x - a} + b

Where the function has vertical asymptotes and a horizontal asymptote based on the graph's behavior.

Do you want me to help you derive the exact form of the function based on the graph's specifics, like identifying the vertical and horizontal asymptotes?

Let me know if you want a detailed explanation or have any specific questions about this problem!

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Math Problem Analysis

Mathematical Concepts

Rational Functions
Asymptotes
Graph Analysis

Formulas

f(x) = (numerator) / (denominator) + constant

Theorems

Asymptote behavior of rational functions

Suitable Grade Level

Grades 10-12