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How does the graph of an exponential function differ from the graph of a linear function and how is the rate of change different?
The graph of a linear function is a line with a constant slope. The graph of an exponential function is a curve with a non-constant slope. The slope of a given curve at a specified point is the derivative evaluated at that point.
A function wahose graph is parabola?
Any equation where variable a = some multiple of variable b2 + constant will graph a parabola.
What are the ways in describing a function?
A formula or graph are two ways to describe a math function. How a math function is described depends on the domain of the function or the complexity of the function.
If the slop of the function y equal -3.5x plus 12.8 is changed to 1.5 then describe the graph of the new function?
The straight line in the graph goes 'uphill' from left to right
How do you determine the constant in a graph?
To determine the constant in a graph, first identify the linear relationship or the specific function type represented by the graph. For linear graphs, the constant is the y-intercept (the value of y when x is zero). In other types of functions, such as quadratic or exponential, the constant may be identified by analyzing key points, equations, or asymptotic behavior. You can also use regression analysis to find the constant mathematically if the graph represents a dataset.
Is the first derivative of a function is a constant then its graph is?
A line. The derivative of a function is its slope. If the slope is a constant then the graph is a line.
How does changing the constant affect a graph?
Changing the constant in a function will shift the graph vertically but will not change the shape of the graph. For example, in a linear function, changing the constant term will only move the line up or down. In a quadratic function, changing the constant term will shift the parabola up or down.
How does the graph of an exponential function differ from the graph of a linear function and how is the rate of change different?
The graph of a linear function is a line with a constant slope. The graph of an exponential function is a curve with a non-constant slope. The slope of a given curve at a specified point is the derivative evaluated at that point.
How can one determine the phase constant from a graph?
To determine the phase constant from a graph, identify the horizontal shift of the graph compared to the original function. The phase constant is the amount the graph is shifted horizontally.
If the velocity is constant describe the slope of the graph on a position vs. time graph.?
If velocity is constant, the slope of the graph on a position vs. time graph will be a straight line. The slope of this line will represent the constant velocity of the object.
How will you describe the graph of a function?
· whether it is linear, quadratic or exponential · whether it has an upper or lower bound · whether it has a minimum or a maximum value · whether it is constant, decreasing or increasing
What does it mean when a line graph is a horizontal line?
It means that the function is constant.
A function wahose graph is parabola?
Any equation where variable a = some multiple of variable b2 + constant will graph a parabola.
What are the ways in describing a function?
A formula or graph are two ways to describe a math function. How a math function is described depends on the domain of the function or the complexity of the function.
If the slop of the function y equal -3.5x plus 12.8 is changed to 1.5 then describe the graph of the new function?
The straight line in the graph goes 'uphill' from left to right
What statements describe one of the transformations performed on to create?
One of the transformations performed on a function is translating it vertically by adding or subtracting a constant value to all y-values. This shifts the graph up or down relative to the original function without changing its shape.
What does k correspond to in a direct variation function?
k is the constant of variation and is the gradient (slope) of the relevant graph.
