Use the graphs of f and g to evaluate the following. 9(f (2)) = g (f (6)) = 9 (g (2))

Q: Find the points on the graph of the function that are closest to the given point. f(x) = x2, (0, 8)…

A: It is given that, fx=x2, 0,8. Any point on the given curve will be in the form x,y=x,x2. Distance…

Q: Suppose the graph of f(x) = x2is shifted up 2 unitsand to the right 5 units. What is the equation of…

A: graph of f(x) = x2is shifted up 2 unitsand to the right 5 units.

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: 4) State the Piecewise Function for the graph below. { } f(x) = - { }

A:

Q: Which one is the graph of ​f(x)=x2​? What is its​ domain?

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Q: determine from its graph if the function is one-to one.

A:

Q: What is the end behaviour for the function f(x)=-3logx

A: The given function is f(x)=-3log x

Q: 4. If f(x) = ax³ + bx², determine a and b so that the graph of f will have a point of inflection at…

A: If fx=ax3+bx2, then to determine a and b so that the graph of f will have a point of inflection at…

Q: What is the effect on the graph of the function f(x)= √1/2x when f(x) is replaced with f(x)+2,A,B,C,…

A: Substitute f(x)+2 in place of f(x).

Q: Q.2 Apply vertical line test to show that the graph of the function 4 =1 does not 9. represent the…

A: To Determine: Apy vertical line test to show that the graph of the function does not represent the…

Q: What is the domain and range of f from the graph above?

A: Consider the given graph.

Q: Graph the functions f(x) = 2x and g(x) = 2x – 3 in the same rectangular coordinate system. Select…

A: The graphs of the function f(x) = 2x and g(x) = 2x - 3 are as follows:     The green line…

Q: Sketch the graph of the piecewise function q(X) using Xy-charts. x+ 3 if x 1.

A: Solution -  We have been q(x) in three forms depending on the domains- q(x)=x+3 ,         if…

Q: It is the graph of f' (x). y = f'(x) 3+ 1 -1- -3+ 5. 3. 1.

A:

Q: The graph of function f(x) = x³ 6x2 + 9x + 1 is concave upward on (-∞, 2) (-0, 0) (2, оо) о (-2, 2)

A: f is concave up when f''(x) is greater than 0

Q: 7) Sketch a graph for f(x) 3 + 2-x

A: To plot the given function:

Q: -6 9. 4- -6-

A: First, from graph we will find values of f(2) and g(2) and then we will find (f+g)(2) as shown below

Q: suppose (-2,1) is a point on the graph of y=f(x). what is a point that will be on the graph of…

A: Topic - functions

Q: Use the graph of f'(x) to identify the graph off (x). 6

A: Given graph f'(x) The graph is of the function is of the form  f'(x)=4x+122-2.5 To find f(x)

Q: Sketch the graphs of the functions f and g. (x) - -x? + 2x + 2, g(x) -x + 2

A: Given data:   The expression for the first function is f(x)=-x2+2x+2. The expression for the second…

Q: Sketch the graph of f (x) = x |x|. Then show that f'(0) exists.

A: If f(x) is a continuous function, then derivative of the function at point a exits if and only if…

Q: The graph of f) = x' is transformed to create the graph of g(x) = f(x) – 3 . Which graph best…

A: given function

Q: Find Domain and range of f(x)=x^x and graph it.

A: The objective is to find Domain and range of f(x)=x^x and graph it.

Q: If f"(2) = 0 then explain how the graph of f might NOT have a point of inflection at x = 2. %3D

A: to find the inflection point we take f''(x)=0, but not for all values of x  when the graph of f''(x)…

Q: Sketch the graph of the function. 4+x if x < -2 f(x) = {x2 %3D if -2 sx < 2 6- x if x 2 2

A:

Q: Match the function with the graph of its end behavion

A: We are given with the graph we have match and behavior of graph

Q: If the graph of f(x) is given by Then the graph of f(-x)+2 is

A: F(x) is given

Q: Sketch the graph of f(x) = 1/(x2+1)

A: The graph of f(x) = 1/(x2+1)

Q: 2. 3(1-1 On what interval is the graph of f(x): concave downward?

A:

Q: Given the Graph of the Function: f (x), explain how to obtain the graph of g (a) = -f (x+ 5) +1

A: Given that: Graph of f(x).

Q: Find the points on the graph of the function that are closest to the given point. f(x) = x2 -9,…

A: The function f(x) is given by :                    f(x)=x2-9; at (0, 2)     To determine:…

Q: how does the graph shoft from f(x)=2x to f(x)=2x+4

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Q: What's the relationship between (x)^1/2 and (x)^2? Based on their properties and graphs

A: whats the relationship between the given curve

Q: Which is the graph of the function f ( x ) = { x 2 if  x ≤ 1 x − 1 if  x > 1 ?

A: Given function is fx=x2    ; if x≤1x-1; if x&gt;1 Point of discontinuity for the given function is…

Q: 2.For the graph provided, state whether the leading coefficient is positive or negative, the degree,…

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Q: Find the range of the function for the domain {−2,0,4}. Show your work. f(x)=5x2+4

A:

Q: 16. Sketch the graph of f(x)=(4-x)(x+1)(x+3)*. Be sure to label all x- and y-intercepts.

A:

Q: Use the graph of y = f(x) to sketch the graph of f'(x). 10+ 9. 8+ 7+ 6+ 5- 4+ 10 -9 -8 -7 -6 -5 -4…

A: The point of inflection for the graph is obtained as .

Q: 9. Sketch the graph and determine the domain and range -x', x 2

A:

Q: Determine where the graph of f(x) = |x - 3| is increasing and where it is decreasing.

A: To determine: The intervals where the function f(x)=x-3is increasing and decreasing. Given…

Q: Explain how the graphs of g and h are obtained from the graph off. f(x) = x², g(x) = (x + 4)°,…

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Q: The graph of f(x) = x² is transformed to create the graph of h(x) = 2f(x). Which graph best…

A:

Q: sform the graph of f(x) into that of 7) flz) = |x| g(x) = 2|x +1|

A: Solution:-

Q: Sketch a graph of the piecewise defined function.

A:

Q: Neatly graph the function over the interval [-π,2π]. 1. f(t)= csc2t-1

A:

Q: Graph the functions f(x) = 2x and g(x) = 2x - 3 in the same rectangular coordinate system. Select…

A:

Q: Suppose point P (-2, -3) is on some function y=f(x) and is transformed to g(x) so that g(x) = 5f…

A: