If the point (3,8) is on the graph of a function f, then f(_)=_. If g(-2), then (_,_) is a point on the graph of g.

Q: Consider the graph and determine the open intervals on which the function is increasing and on which…

A: topic- increasing and decreasing intervals of function

Q: Sketch a graph of f(x)

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Q: find a function f whose graph is a parabola with a given vertex and that passes through the given…

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Q: . If the point (3, 4)is on the graph of the function f, then the point (--) is on the graph of f-1.

A: If (h,k) lies on f(x), then (k,h) lies on y=f^-1(x)

Q: If the point (3, - 5) is on the graph of a one-to-one function f,what point must be on the graph of…

A: Given: point (3,-5) of f on the graphTo find f-1

Q: Select the graph of f and f' on the same set of coordinate axes. Ax) = 2x – 3 %3D

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Q: The graph of f is given above. Which statement regarding the local (or relative) minimum of f is…

A: Relative minima is the point where slope of the graph is zero and there is a change from negative…

Q: Select one of the four sketches to describe the end behavior of the graph of the function, Degree of…

A: ⇒ degree of leading term evensign of leading coefficient positiveend behaviour fx→+∝as x→∝…

Q: Find the coordinates of a second point on the graph of a function  f  if the given point is on the…

A: The point on the graph of f is 4, 3 and f is an even function.

Q: Sketch a graph of a function that is one-to-one on the intervals 1-∞, -24 and 3-2, ∞2 but is not…

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Q: Do the graphs of even and odd functions have special symmetry properties?

A: A function is said to be even function when f(-x)=f(x). Hence the graph of the function is always…

Q: 2. Sketch a graph of a function f that satisfies ALL number lines (one graph, not three separate…

A: The meaning of different signs: For function: f(x) , the positive sign indicates the function is…

Q: Find a function f whose graph is a parabola with the given vertex and that passes through the given…

A: As we know that: The standard equation of the parabola is: x-h2=4ay-k Where: vertex is at h,k   From…

Q: A function defined by two or more equations over a specified domain is called a/an .................…

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Q: 5. If the point (3, 4) is on the graph of the function f, then the point (- -) is on the graph of f.

A: We have to fill in the blanks: If the point 3, 4 is on the graph of the function f, then the point…

Q: If a function f is an even function, then what type of symmetry does the graph of f have?

A: The function f is an even function.

Q: (a) If the point (5,3) is on the graph of an even function,what other point must also be on the…

A: A function y=f(x) is an even function if f(-x)=f(x) (5,3) is on the function means f(5)=3

Q: Show that f (x) = x3 - 3x is an odd function. Explain why its graph is symmetric about the origin.

A: Given, fx=x3-3x

Q: If the point (5 , 8) is on the graph of the function f, then the point (x, y) = ( ? ) is on the…

A: Given ,  If the point (5 , 8) is on the graph of the function f We have to find the point (x , y) =…

Q: Sketch a graph of an even function f and state how f1x2 and f1-x2 are related.

A: If f(x) is even function then  f(-x)=f(x) Graph of even function is symmetric about y-axis. Function…

Q: Give an example of a function whose domainD has three elements and whose range R has two elements.…

A: Domain: The domain of the function is the set of all input values, for which the function is…

Q: Find a function f whose graph is a parabola with the given vertex and that passes through the given…

A: Given,            Vertex =-1, 7 and Point =-3,-5

Q: The set of all images of the elements in the domain of a function is called the…

A: We know that the set of all images of the elements in the domain of a function is called the Range

Q: A) function is defined by (1-x if x ≥ 0 f(x)= √x² if x < 0 Evaluate f(0), f(1)and f(2) and sketch…

A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If…

Q: If the point (2, 8) is on the graph of f, then f(2) = %3D

A:

Q: 4. If the point (3, -5) is on the graph of a one-to-one function f, what point must be on the graph…

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Q: The graph of f is given. State, with reasons, the numbersat which f' is not differentiable.

A: Concept: The calculus helps in understanding the changes between values that are related by a…

Q: Find a function f whose graph is a parabola with the given vertex and that passes through the given…

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Q: if the point (2,8) is on the graph of f, then f(2) =

A: The point 2,8 is on the graph of f.

Q: A function defined by two or more equations over a specified domain is called a/an__________…

A: there are many types of functions but a function that is defined over multiple equations over a…

Q: Sketch the graph of a function that satisfies all the given conditions.

A: We have to sketch a graph satisfying the given condition.

Q: If the graph of a function f is symmetric about the y-axis, then f is an even function. Select one:…

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Q: Find a function f whose graph is a parabola with the given vertex and that passes through the given…

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Q: If f(x) = -√x and g(x) = √-x, then f and g have identical graphs.Determine whether each statement is…

A: If f(x) = -√x and g(x) = √-x, then f and g have identical graphs.Determine whether each statement is…

Q: Sketch a graph of the piecewise defined function. 1 – x if x -2

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Q: Draw the graph of the function given by the rule.

A: The given function is  f(x)=x2+2x+1x2-4x+4 The function can be rewritten as…

Q: Sketch a graph of the piecewise defined function.

A: Given function, f(x)=1         if  x≤1x+1    if  x&gt;1

Q: Prove that all functions can be written as a sum of an even function and an odd function

A: Show that: w(x)=u(x)+v(x) and also show that: u(x) is even and v(x) is odd,

Q: Sketch a graph of then piecewise defined function. ) - x-

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Q: The domain of a one-to-one function g is [ - ∞, 0 ] , and its range is [0, ∞ ]. State the domain and…

A: Graphs of inverse functions have a domain and range just like any other graph of a function. The…

Q: Sketch the graph of f'(x) for f(x) = x³ + x³ . Label at least 3 points on this graph .

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Q: The graph of an even function is symmetric about the _______ and the graph of anodd function is…

A: Determine the complete statement: The graph of an even function is symmetric about the _______ and…

Q: Sketch a graph that has all the given character f(-1) = 2 and f(2) = 4 interval (-, -1) || (-1, 2) |…

A: Graph passing through the points (-1,2) and (2,4)

Q: The graph of f is below. State, with reasons, the number(s) at which f is not differentiable. un -2

A: To find the numbers at which Function is not differential

Q: Consider the graph and determine the open intervals on which the function is increasing and on which…

A: Follow the procedure given below.

Q: If the point (5, 6) is on the graph of the function f, then what point is on the graph of f −1 ?

A: First of all we will see the form of points on the graph of a function. Then we will use this form…

Q: If the point (3,7) is on the graph of f, then f(3) =               .

A: We know that if any point (x, y) is on the graph of any function f then f(x) = y

Q: sketch the graph of f(x) = 2x and label two-point.

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Q: Sketch the graph of the function with the given conditions: f has domain [-1,1), f(-1) =-1, f(-})…

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