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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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6mo ago

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Related Questions

What is the graph of logarithm functions?

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.


What is a type of function whose graph is a nonvertical line?

A monotonic, or one-to-one function.


identity linear and nonlinear functions from graph?

identity linear and nonlinear functions from graph


What is vertical stretch?

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.


What happens when we change the position of a triangle on graph?

A transformation has been made on the graph. A translation has been made.


How do you graph a quadratic functions?

Calculator


Which transformation occurs to the graph of y 5x 2 when the equation of the line changes to y 5x 3?

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.


Are there any limitations when using a bar graph?

the 3d transformation is 3dimentional


How do you graph cost revenue and profit functions?

There are a couple of graphs you could use. A pie graph or a bar graph.


Which rule describes a transformation across the x axis?

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).


Which of the functions below could have created this graph?

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.


Can the graph of a functions be verticle line?

Yes the graph of a function can be a vertical or a horizontal line