Commerce Exam > Commerce Videos > Mathematics (Maths) Class 11 > Some Functions & their Graphs
Some Functions & their Graphs Video Lecture | Mathematics (Maths) Class 11 - Commerce
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FAQs on Some Functions & their Graphs Video Lecture - Mathematics (Maths) Class 11 - Commerce
| 1. What are some common examples of functions and their corresponding graphs? |  |
Ans. Some common examples of functions and their corresponding graphs include linear functions, quadratic functions, exponential functions, logarithmic functions, and trigonometric functions. Linear functions have a straight line graph, quadratic functions have a parabolic graph, exponential functions have a curved graph that increases or decreases rapidly, logarithmic functions have a graph that increases or decreases slowly, and trigonometric functions have periodic graphs such as sine and cosine waves.
| 2. How can I determine the domain and range of a function from its graph? | |
Ans. To determine the domain of a function from its graph, we look at the x-values that are included or excluded on the graph. The domain is the set of all possible x-values for which the function is defined. Similarly, to determine the range of a function from its graph, we look at the y-values that are included or excluded on the graph. The range is the set of all possible y-values that the function can output.
| 3. What does the slope of a linear function represent on its graph? | |
Ans. The slope of a linear function represents the rate of change of the function. It tells us how much the y-value changes for a given change in the x-value. A positive slope indicates an increasing function, while a negative slope indicates a decreasing function. A slope of zero represents a horizontal line with no change in the y-value regardless of the x-value.
| 4. How can I determine the x-intercepts and y-intercepts of a function from its graph? | |
Ans. To determine the x-intercepts of a function from its graph, we look for the points where the graph intersects the x-axis. These points have a y-coordinate of zero, and their corresponding x-coordinate gives us the x-intercepts. Similarly, to determine the y-intercepts of a function from its graph, we look for the points where the graph intersects the y-axis. These points have an x-coordinate of zero, and their corresponding y-coordinate gives us the y-intercepts.
| 5. How can I identify the symmetry of a function's graph? | |
Ans. The symmetry of a function's graph can be identified through its equation or by analyzing the graph itself. A function is symmetric with respect to the y-axis if replacing x with -x in the equation does not change the function. This means that the graph is reflectionally symmetric, and any point (x, y) on the graph should have the point (-x, y) as well. On the other hand, a function is symmetric with respect to the x-axis if replacing y with -y in the equation does not change the function. This means that the graph is symmetric about the x-axis, and any point (x, y) on the graph should have the point (x, -y) as well.
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Dec 27, 2024 Last updated |
Video Description: Some Functions & their Graphs for Commerce 2024 is part of Mathematics (Maths) Class 11 preparation.
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