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Q: Is a line with undefined slope graph a function?
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Can the graph of a function have an undefined slope?

Yes and the straight line could be parallel to the x or y axes


Why is the slope of a graph x equals k where k is some constant undefined?

The Slope is Undefined, the line is vertical


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.


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.


What is the direction of the line with an undefined slope?

A vertical line has an undefined slope.


A horizontal line has an undefined slope?

No, the slope of a horizontal line is 0. The slope of a vertical line is undefined.


Do undefined slopes have a slope?

An undefined slope is just a line straight down. The slope is undefined.


Graph the line passing through the point -2 4 with slope undefined?

If the slope is undefined, then its a vertical line (up and down) .So draw a vertical line (up and down) that goes through -2 on the x-axis.


Do horizontal lines have an undefined slope?

No. The slope of a horizontal line is zero. The slope of a vertical line 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.


Is an undefined slope a vertical or horizontal line?

An undefined slope is vertical.


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.