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monique robles

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4y ago

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What is the difference between zero slope and infinite slope?

Zero is when its a straight horizontal line It its going neither up or down Infinite is when its a straight vertical line You could say its positive or negative and it will forever going up or down You couldn't give it a slope number


What does the slope of jessicas function represents?

The slope of Jessica's function represents the rate of change of the dependent variable with respect to the independent variable. In practical terms, it indicates how much the output value increases or decreases for each unit increase in the input value. A positive slope suggests a direct relationship, while a negative slope indicates an inverse relationship. The exact meaning can vary depending on the context of the function being analyzed.


What is concavity of a function?

Just as the slope of the tangent line to the graph of f at the point (x, f(x)) describes the behavior of the function, concavity describes the behavior of the slope. As x increases (graph goes from left to right), one of the following is true:Concavity is positive, so the slope slowly increases.Concavity is negative, so the slope slowly decreases.Concavity is equal to zero, so the slope is constant.Again, remember that concavity directly affects the slope, NOT the function itself. I mean this in the sense that concavity affects slope affects function.Mathematically speaking, you can find the concavity at a certain point by taking the derivative of the derivative of the function (accurately called the second derivative, f''). So, when you take the derivative of a function, you get the first derivative, f' (describing slope), and the derivative of that is the second derivative (describing the concavity).Last but not least, here is a handy way to find the concavity of a function by looking at its graph:Concavity is positive when the graph turns up, like a smiling emoticon (look at a graph of f(x) = x2 for an example).First observe that f'(x) = 2x.We see that f' < 0 when x < 0 and f' > 0 when x > 0. So that the graph is decreasing on the negative real axis and the graph is increasing on the positive real axis.Next observe that f''(x) = 2.Thus, f'' > 0 at all points. Thus the graph is concave up everywhere.Finally observe that the graph passes through the origin.Concavity is negative when the graph turns down, like a frowning emoticon (look at a graph of f(x) = -x2 for an example).First observe that f'(x) = -2x.We see that f' > 0 when x < 0 and f' < 0 when x > 0. So that the graph is increasing on the negative real axis and the graph is decreasing on the positive real axis.Next observe that f''(x) = -2.Thus, f'' < 0 at all points. Thus the graph is concave down everywhere.Finally observe that the graph passes through the origin.Look at the graph of f(x) = x3First observe that f'(x) = 3x2.Thus, f' &ge; 0 everywhere. The function is always increasing.Next observe that f''(x) = 6x.Thus, f'' < 0 when x < 0 and f'' > 0 when x > 0. So the graph is concave down on the negative real axis and concave up on the positive real axis.Finally observe that the graph passes through the origin.Concavity is zero when the graph is linear OR at a point where it stops turning up and starts turning down, and vice versa.


What is the slope of line with the equation 2x 3y plus 6 equals 0?

Put the equation in this form: y=mx+b. Then m will be the slope. 2x3y+6=0 2x3y=-6 3y=-6/2x y=-2/2x y=-1/x This equation does not describe a straight line, but rather, it describes a curve.


Y equals 3x plus 5 slope?

The slope equals 3

Related Questions

How would you define positive slope?

a line with a positive slope rises from left to right


What is positive slope?

If the slope (line)is in upward direction, it is called positive slope


What is a positive slope for an equation?

the positive slope for an equation is a shdjcdhksfdgkf


What word describes slope?

The slope of a line is its gradient


Is a slope of a line always positive?

No because the slope of a line can be positive or negative


What are four types of slope?

positive slope negative slope zero slope undefined


For a negative slope the rise is and the run is positive?

For a negative slope, the rise is negative and the run is positive.


Can slope k of a direct variation be positive?

The slope of the graph of a direct variation is always positive.


Which of the following slope options correctly describes a line passing through the points (-10 5) and (100 5.7)?

If you mean points of: (-10, 5) and (100, 5.7) then the slope works out as 7/1100


What does an positive slope look like?

a positive slope is a slope which increases in value "y" as well as its value for "x" i.e. (0,0)(2,2) would be listed as positive because the values increase olong the slope of the line


Which of the following statements are true about the line y mx b?

If you mean straight line equation: y = mx+b then m is the slope and b is the y intercept


What are some Real examples for negative slope and positive slope?

A positive slope is simply a slope going upward on a graph from left to right. A negative slope is a slope going downward from left to right. Often, negative slopes are the reverse of positive slopes and are both depending on the person's direction.