Evaluate the function f at the indicated value. 6x + 7, if x s0 f(4) for f(x) = 4- 3x, if 0< x < 3 x, if x 2 3 B) 4 A) 31 C) 3 D) -8 Use transformations of the graphs of y = x2 to sketch a graph of f by hand. f(x) = -4(x+ 3)2+ 1 A) B)

Q: Match the piecewise function with its graph. (2x-1, if x-1 A) B) 8 -6 -4 -2 C) D) -4 -6 -4 E) AB) -6…

A:

Q: What equation represents the transformed function g (x) that is formed by shifting the graphed of…

A: Function is given by

Q: The graph of a function fis formed by vertically stretching the graph of y = √x by a factor of 2,…

A: WSe have to apply the given transformation on the graph

Q: the function f(x) was replaced by f(x-2)+1 resulting in g(x). describe the transformation of f

A: We have to find the transformation

Q: 6. Use the graphs of f and g to find the function values: 4 3 2 2 (a) (f + g)(4) f(x) 3 3 2 1 (b)…

A: Given:

Q: a) Graph the function on the coordinate plane. n(x) = -(x + 4)² + 2 b) Describe the transformation…

A:

Q: 2. Let f(x) = # and g(x) = 2x + 3 %3D (a) Find and simplify (f o g)(x) (b) Find and simplify (go…

A: We are solving the first question and for the next question post the question again and also mention…

Q: Given f(x) = 3x, and g(x) = Vx² – 5 a) (g + f)(x) b) (f – g)(4)

A: Given: f(x)=3x and g(x)=x2-5g*f(x)=? We can solve this as follows:

Q: Sketch the graph of f.

A: Consider the given function. fx=x2+x2x-1x2-3x+22x-1 First, simplify the function.…

Q: Give one way to restrict the domain of the function f (x) = X4-2to make the resulting function…

A: Given function is: fx=x4-2fx=x2

Q: 5. Use transformations to sketch the function y=-3log10 (x-1) +2.

A: We have y=-3log10x-1+2 Now, if the original function is y1=log10x, then we apply various…

Q: Graph the function f (x)=(x+1)^2-4 by starting with the graph of y=x^2 and using transformations​…

A: Plot the graph of the function y=x2.

Q: If (2,7) is on the graph of f(x), write the ordered pair that will be on the graph after the…

A: To find ordered pair that will be on graph after the transformation done.

Q: Define g to be the function 2x2 – 5x – 3 if x + 3 g(x) = - 3 х — if x = 3 Sketch a graph of g.…

A: g(x)=2x2-5x-3x-3        ...if x≠36                          ...if x=3    If   limx→ag(x)≠f(a) , f(x)…

Q: x2 – 4x – 45 Let f(x) = x - 3 Write the domain of f as an interval.

A:

Q: Differentiate the function of y = (e4x^2+1)3 in two different ways: i.) by differentiating the…

A: Given: y=e4x2+13   As we know that; The Power law; ddxxn=nxn-1 The Chain rule: fgx'=f'gx·g'x

Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.