0
You find the slope by using 2 points and doing y2-y1/x2-x1
Then you put it into the equation and plug in any point as x or y and find b. Then, you plug in x and y values and graph them.
What is written above is correct, but does not answer the question. The method provided above is only valid för functions of the form: f(x) = kx + m
However when dealing with polynomials such as x^3, where the slope is under constant change, the slope is calculated using a different method.
lim h-->0 (f(x+h) - f(x))/h
Simplification is needed for, for example the calculation of the slope of x^3 at any given point for x. Try it out yourself. The answer is 3x^2. Generally: if f(x)=x^n then f´(x)=nx^(n-1)
Add your answer:
Earn +20 pts
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 slope mean in algebra?
Slope in algebra refers to the rate of change of a function at a given point. This can be used in physics, where on a graph that shows the change in velocity, the value of the slope is equal to the acceleration at that moment in time.
How do you get the tangent line without the graph?
The answer will depend on the context. If the curve in question is a differentiable function then the gradient of the tangent is given by the derivative of the function. The gradient of the tangent at a given point can be evaluated by substituting the coordinate of the point and the equation of the tangent, though that point, is then given by the point-slope equation.
What is the linear parent function?
The linear parent function is y=x. The line on a graph passes through the origin(0,0) with a slope of 1. The line will face left to right on the graph like this /.
Can the graph of a function have an undefined slope?
Yes and the straight line could be parallel to the x or y axes
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.
Find the slope of a tangent line to the graph?
Use the four-step process to find the slope of the tangent line to the graph of the given function at any point.
What are uses of derivatives?
A derivative of a function represents that equation's slope at any given point on its graph.
What are the uses of derivatives?
A derivative of a function represents that equation's slope at any given point on its graph.
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.
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 does the slope of a tangent to the curve of a velocity-time graph measure?
The slope of a tangent to the curve of a velocity-time graph represents the acceleration of an object at that specific instant in time. A steeper slope indicates a greater acceleration, while a flatter slope indicates a smaller acceleration.
What does slope mean in algebra?
Slope in algebra refers to the rate of change of a function at a given point. This can be used in physics, where on a graph that shows the change in velocity, the value of the slope is equal to the acceleration at that moment in time.
Find the constant of variation and the slope of the given line from the graph of y equals 2.5x?
find the constant of variation and the slope of the given line from the graph of y=2.5x
What is an increment on a graph?
a thing on math
How is the function differentiable in graph?
If the graph of the function is a continuous line then the function is differentiable. Also if the graph suddenly make a deviation at any point then the function is not differentiable at that point . The slope of a tangent at any point of the graph gives the derivative of the function at that point.
