Q41-45 are based on Case Study -1 Case study-1 In a class the teacher ...
Explanation of Polynomial Graph
Introduction:
The given graph is a polynomial graph of the form p(x) = ax² + bx + c. The three students have drawn the graph of the path travelled by them to school from their home. The graph shows the distance travelled by them at different times.
Vertex:
The vertex of the graph represents the minimum or maximum point of the graph. It is given by the formula x = -b/2a. In all three graphs, the vertex represents the time at which the student reaches the farthest point from their home.
Y-Intercept:
The y-intercept of the graph represents the distance travelled by the student when they start their journey. In all three graphs, the y-intercept represents the distance of the student's home from the school.
Shape of the Graph:
The shape of the graph depends upon the value of coefficient 'a' in the polynomial equation. If 'a' is positive, the graph opens upwards, and if 'a' is negative, the graph opens downwards. In the given graphs, the shape of the graph suggests that the students are travelling in a straight line.
Comparing the Graphs:
The graph of the student with the highest coefficient 'a' has the steepest curve, which means that the student is travelling at a faster pace than the other two students. The graph of the student with the lowest coefficient 'a' has the gentlest curve, which means that the student is travelling at a slower pace than the other two students.
Conclusion:
In conclusion, the given graphs represent the distance travelled by the three students on their path to school. Understanding the shape and key features of the graph can help us analyze and compare the journey of each student.
Q41-45 are based on Case Study -1 Case study-1 In a class the teacher ...
Where are graphs
To make sure you are not studying endlessly, EduRev has designed Class 10 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 10.