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What else can I help you with?
What must be true about the average rate of change between any two points on the graph of an increasing function?
if a function is increasing, the average change of rate between any two points must be positive.
What function family has an increasing interval and a decreasing interval?
There are many families of functions or function types that have both increasing and decreasing intervals. One example is the parabolic functions (and functions of even powers), such as f(x)=x^2 or f(x)=x^4. Namely, f(x) = x^n, where n is an element of even natural numbers. If we let f(x) = x^2, then f'(x)=2x, which is < 0 (i.e. f(x) is decreasing) when x<0, and f'(x) > 0 (i.e. f(x) is increasing), when x > 0. Another example are trigonometric functions, such as f(x) = sin(x). Finding the derivative (i.e. f'(x) = cos(x)) and critical points will show this.
Which function passes through the points (2 15) and (3 26)?
Well, honey, if you're looking for a function that passes through the points (2, 15) and (3, 26), you're talking about a linear function. The slope of this function would be 11 (rise of 11 over run of 1), so the equation would be y = 11x + b. To find the y-intercept, plug in one of the points, let's say (2, 15), and solve for b. So, the function that passes through those points is y = 11x + 4.
How you find fixed points of a function?
The fixed points of a function f(x) are the points where f(x)= x.
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 point at which a graph changes directions?
Turning points are the points at which a graph changes direction from increasing o decreasing or decreasing to increasing.
Is the function that cuts through the points (2 3) and (-1 6) increasing or decreasing?
Overall "on average" it will increase between those points (as the y value of the greater x valued point is greater than the y of the lesser x valued point), but it could be a curve that has sections that increase and other sections that decrease.
What must be true about the average rate of change between any two points on the graph of an increasing function?
if a function is increasing, the average change of rate between any two points must be positive.
In a sine wave at what angle or angles is the amplitude increasing at its fastest rate?
The amplitude of a sine wave is increasing at its fastest rate at the maximum points (90°, 270°) and decreasing at its fastest rate at the minimum points (0°, 180°).
Function equals x2ex domain intercepts asymptotes increasing decreasing local extrema concave up concave down points of inflection discontinuous?
f(x)=(x^2)(e^x) 1. Domain? 2. Symmetry? 3. Intercepts? 4. Asymptotes? 5. Increasing/Decreasing? 6. Relative Extrema? 7. Concave Up/Down? 8. Points Of Inflection? 9. Any Discontinuity? So confused! The e throws me off!
When the points on a graph tend to go downward from left to right you say they indicate what?
They mean the graph/function is decreasing.
In which direction do electric field points when the potential is decreasing?
When the potential is decreasing, the electric field points in the direction of decreasing potential.
What function family has an increasing interval and a decreasing interval?
There are many families of functions or function types that have both increasing and decreasing intervals. One example is the parabolic functions (and functions of even powers), such as f(x)=x^2 or f(x)=x^4. Namely, f(x) = x^n, where n is an element of even natural numbers. If we let f(x) = x^2, then f'(x)=2x, which is < 0 (i.e. f(x) is decreasing) when x<0, and f'(x) > 0 (i.e. f(x) is increasing), when x > 0. Another example are trigonometric functions, such as f(x) = sin(x). Finding the derivative (i.e. f'(x) = cos(x)) and critical points will show this.
What is a trend on a graph?
It is the description of a slope of a line which connects from many points you mark to show a way that your graph data may increase or decrease. If it is decreasing, you have a downwards trend. If it is increasing, you have an upwards trend.
Which function passes through the points (2 15) and (3 26)?
Well, honey, if you're looking for a function that passes through the points (2, 15) and (3, 26), you're talking about a linear function. The slope of this function would be 11 (rise of 11 over run of 1), so the equation would be y = 11x + b. To find the y-intercept, plug in one of the points, let's say (2, 15), and solve for b. So, the function that passes through those points is y = 11x + 4.
How do you determine weather the graph represent a function?
The "vertical line test" will tell you if it is a function or not. The graph is not a function if it is possible to draw a vertical line through two points.
What are the effects of pressure on melting boiling points of a substance?
Increasing pressure generally increases the melting and boiling points of a substance. This is because pressure forces molecules to be packed closer together, making it harder for them to break free from each other in the solid or liquid phase. Conversely, decreasing pressure lowers the melting and boiling points.
