A monotonic transformation does not change the overall shape of a function's graph, but it can stretch or compress the graph horizontally or vertically.
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To graph indifference curves from utility functions, you can plot different combinations of two goods that give the same level of satisfaction or utility to a consumer. Each indifference curve represents a different level of utility, with higher curves indicating higher levels of satisfaction. By using the utility function to calculate the level of satisfaction at different combinations of goods, you can plot these points to create the indifference curves on a graph.
The presence of a monopoly typically reduces consumer surplus on a graph. This is because monopolies have the power to set higher prices and limit the quantity of goods available, leading to less surplus for consumers.
A perfect complements graph helps to show how two variables are related in a specific way where they must be used together in fixed proportions. This type of graph is significant in understanding how the quantities of the two variables are interdependent and how they affect each other's utility or satisfaction.
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The graph of y = log(x) is defined only for x>0. The graph is a monotonic increasing function over its domain. It starts from an asymptotic "minus infinity" when x approaches 0. It passes through the value y = 0 when x = 1. The graph is illustrated at the link below.
A monotonic, or one-to-one function.
identity linear and nonlinear functions from graph
A vertical stretch is a transformation applied to a function that increases the distance between points on the graph and the x-axis. This is achieved by multiplying the function's output values by a factor greater than one. For example, if the function ( f(x) ) is transformed to ( k \cdot f(x) ) (where ( k > 1 )), the graph is stretched vertically, making it appear taller and narrower. This transformation affects the amplitude of periodic functions and alters the steepness of linear functions.
A transformation has been made on the graph. A translation has been made.
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When the equation of the line changes from ( y = 5x + 2 ) to ( y = 5x + 3 ), the graph of the line undergoes a vertical transformation. Specifically, it shifts upward by 1 unit. This change does not affect the slope, which remains at 5, but alters the y-intercept from 2 to 3.
the 3d transformation is 3dimentional
There are a couple of graphs you could use. A pie graph or a bar graph.
You have to add on the number that you want to transform the graph by. For example to move the graph 2 units along the x-axis the transformation would be f(x+2).
To accurately identify which function could have created the graph, I would need to see the specific graph in question. However, common functions that often produce recognizable graphs include linear functions (straight lines), quadratic functions (parabolas), exponential functions (curved growth), and trigonometric functions (sine, cosine waves). If you provide details about the graph's shape or key features, I can help narrow down the possible functions.
Yes the graph of a function can be a vertical or a horizontal line