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Given that (7-6) is on the graph f(x) find the corresponding point for the function f(x plus 2)?
When the x coordinate is changed by adding a constant amount this is the same as translating (shifting) the graph of the function f(x) that amount parallel to the x-axis; if the amount is positive the graph is translated to the left, if it is negative it is translated to the right.
As (7, -6) is on f(x), then under the translation f(x + 2), the graph is translated to the left (2 x-values), so the point (7-2, -6) which is the point (5, -6) is the corresponding point on the graph to (7, -6).
What else can I help you with?
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.
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.
How can you tell the difference graph or function?
A function describes the relationship between two or more variables. A graph is a kind of visual representation of one or more function. A line or curve seen on a graph is called the graph of a function. * * * * * For any point in the domain, a function can map to only ine point in the range or codomain. In simpler terms, it means that (for a two dimensional graph), a vertical line can intersect the graph of the function in at most one point.
What does to graph a point mean?
Mark the position of the point on the graph according to the coordinates of the point that are given (or calculated).
What is the graph of sine function is periodic at?
The graph of the sine function is periodic at every point. Periodic means that the value of the function at every point is repeated after an integer multiple of the period.
Find the coordinates of a second point on the graph of a function f if the given point is on the graph and the function is even?
If the point (x,y) is on the graph of the even function y = f(x) then so is (-x,y)
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.
How do you determine if the graph is a function?
If for every point on the horizontal axis, the graph has one and only one point corresponding to the vertical axis; then it represents a function. Functions can not have discontinuities along the horizontal axis. Functions must return unambiguous deterministic results.
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.
How do you figure out the starting point of a distance vs time graph when given the velocity vs time graph and a function?
To find the starting point of a distance vs time graph from a velocity vs time graph and a function, you would integrate the velocity function to find the displacement function. The starting point of the distance vs time graph corresponds to the initial displacement obtained from the displaced function.
What is the zero of a function and how does it relate to the functions graph?
A zero of a function is a point at which the value of the function is zero. If you graph the function, it is a point at which the graph touches the x-axis.
What are the uses of derivatives?
A derivative of a function represents that equation's slope at any given point on its graph.
What are uses of derivatives?
A derivative of a function represents that equation's slope at any given point on its graph.
What name is given to the turning point also known as the maximum or minimum of the graph of a quadratic function?
vertex
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.
If you are given the graph of a line in an xy-plane and its corresponding equation you can be sure that the coordinates of every point on that line will satisfy the equation?
Yes, I'm confident of that.
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.
