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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.
Do undefined slopes have a slope?
An undefined slope is just a line straight down. The slope is undefined.
How do you write an undefined slope in slope intercept form?
You don't, because it is undefined.
What happens if a slope is undefined?
then the slope is x=y. there is no slope.
What is the difference between a line that has a zero slope and a line that has a undefined slope?
zero is horizontal, undefined is vertical
Why is the slope of a graph x equals k where k is some constant undefined?
The Slope is Undefined, the line is vertical
Can the graph of a linear functions have undefined slope?
Yes. For example, the lines x=7, x=-1, and x=145 all have an undefined slope; they are all vertical.
Is a line with undefined slope the graph of a function?
This is not a function. To be a function, there must be a one to one relationship between the independent variable (usually represented by the horizontal or x axis) and the dependent variable (usually represented by the vertical or y axis). A line with undefined slope is a vertical line, so there are an infinite number of possibilities for y and only one possible value of x, so this is not a function.
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.
What does an undefined graph look like?
An undefined graph typically occurs when there is a division by zero in a mathematical equation, resulting in an infinite or undefined value. In a graph, this would manifest as a vertical line or asymptote where the function approaches infinity or negative infinity. This can happen, for example, when plotting the graph of a rational function where the denominator equals zero at a certain point.
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.
What is a derivative graph?
A derivative graph tracks the slope of a function.
Do undefined slopes have a slope?
An undefined slope is just a line straight down. The slope is undefined.
How do you graph the slope of a function?
For example, if the slope at a certain point is 1.5, you can draw a line that goes through the specified point, with that slope. The line would represent the slope at that point. If you want to graph the slope at ALL POINTS, take the derivative of the function, and graph the derivative. The derivative shows the slope of a function at all points.
What is the definition of undefined slope?
the difinition of undefined slope
What does no slope look like on a graph?
An horizontal line . A line parallel with the x-axis. NB A vertical line / a slope parallel with the y-axis is described as 'undefined'.
Is an undefined slope a vertical or horizontal line?
An undefined slope is vertical.
