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What else can I help you with?
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)
Write an exponential function and graph the function?
f(x)=2X-2
How can you tell if a equation is inverse?
Graph that equation. If the graph pass the horizontal line test, it is an inverse equation (because the graph of an inverse function is just a symmetry graph with respect to the line y= x of a graph of a one-to-one function). If it is given f(x) and g(x) as the inverse of f(x), check if g(f(x)) = x and f(g(x)) = x. If you show that g(f(x)) = x and f(g(x)) = x, then g(x) is the inverse of f(x).
Is f(x) shifted downward a units?
To shift a funcion (or its graph) down "a" units, you subtract "a" from the function. For example, x squared gives you a certain graph; "x squared minus a" will give you the same graph, but shifted down "a" units. Similarly, you can shift a graph upwards "a" units, by adding "a" to the function.
How do you graph a function with no domain?
You can't.If f: D --> C where D is the domain of the function f and C is its codomain and D = Ø, then there are no d Є D. Therefore there are no c Є C : f(d) = c. Thus there are no ordered pairs (d, c) to graph.
Why f represents the graph of a function?
Because f represents a function.
What is The test to determine if a graph is a function is?
A graph is represents a function if for every value x, there is at most one value of y = f(x).
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)
If (4 -5) is on the graph of F(x) which point must be on the graph of the inverse function F -1(x)?
If the point (4, -5) is on the graph of the function F(x), then the point (-5, 4) must be on the graph of the inverse function F⁻¹(x). This is because the inverse function swaps the x and y coordinates of the original function's points. Therefore, for every point (a, b) on F(x), the corresponding point (b, a) will be on F⁻¹(x).
What do i need to do to find F(-3) on a graph?
To find F(-3) on a graph, first locate the x-axis and identify the point where x equals -3. Then, move vertically from this point until you intersect the graph of the function F. The y-coordinate of this intersection point represents F(-3). Make sure to clearly mark this point for reference.
What type of function is f(x)-5?
The expression ( f(x) - 5 ) represents a transformation of the function ( f(x) ). Specifically, it indicates a vertical shift of the graph of ( f(x) ) downward by 5 units. The overall type of function remains the same as ( f(x) ); if ( f(x) ) is linear, quadratic, etc., then ( f(x) - 5 ) is also of that same type.
Write an exponential function and graph the function?
f(x)=2X-2
Can the graph of a function yfx always cross the y-axis?
No. It depends on the function f.
How will the rule for a function fx change if the graph is translated left or right by k?
When the graph of a function ( f(x) ) is translated left or right by ( k ), the rule for the function changes by adjusting the input variable ( x ). Specifically, if the graph is translated to the right by ( k ), the new function becomes ( f(x - k) ). Conversely, if the graph is translated to the left by ( k ), the new function becomes ( f(x + k) ). This transformation shifts the entire graph horizontally without altering its shape.
How do you determine if the graph of a function is concave down without looking at the graph?
If you can differentiate the function, then you can tell that the graph is concave down if the second derivative is negative over the range examined. As an example: for f(x) = -x2, f'(x) = -2x and f"(x) = -2 < 0, so the function will be everywhere concave down.
Why does f represent the graph of a function?
Because each vertical lines meets its graph in a unique point.
How shift x graph up?
To shift a graph of a function ( f(x) ) upward by ( k ) units, you simply add ( k ) to the function. The new function becomes ( f(x) + k ). For example, if the original function is ( f(x) = x^2 ) and you want to shift it up by 3 units, the new function would be ( f(x) + 3 = x^2 + 3 ). This transformation moves every point on the graph up by the specified amount.
