Consider the piece-wise defined function 2ar –1 r<-1 f(x) = { 3x +1 -1 2 4 - x f(0) = [ Choose ] f(-1) [ Choose ] f(2) - [ Choose ] %3D f(4) = [ Choose ] %3D f(-2) = [Choose] f(5)- [ Choose ] f(-3) = [ Choose ] > > > > >

Q: What is the vertex of the following function? f(x) = x² + 4x +3 (-1,4) (-2,-1) (4,3) (-4, 3)

A: Solution : Given that f(x) = x^2 + 4x + 3 For vertex of the given function , f'(x) = 0

Q: Find all points of inflection of the function f(x)=x*-6x² –2 (The numbers below indicate x-values.)…

A: We have to find all points of inflection.

Q: Write the function in its final position. f(x)= x³ first moved 2 units downward, then 3 units to the…

A: The objective is to write the function in its final position.

Q: For the given functions f and g, find the requested function and state its domain. f(x) = *2; g(x):…

A:

Q: A function f is defined by Ax + 5 f(x) 6x - 2 If f(1) = 4, find A.

A: Given: fx=Ax+56x-2  ……1   and, f1=4  ……2   To find: A

Q: se the piecewise-defined function to find the following values for f(x). x)= 4)= [ -5) = 0 )) = 5…

A:

Q: Use the functions below to evaluate and simplify the function compositions. ƒ₁(x) = 4x² – 3x − 1,…

A: Given : f2(x)=7x2-3x-10   To Find : (f2ο f2)(-1)

Q: Choose all functions that are members of the same family. Oy=-x(x − 3)(x + 5) Oy=x³ + 2x² - 15x…

A: By simplifying each function, we can identify the members of same family.

Q: Assume that the function f is a one-to-one function.  (a) If f(8) = 6, find f -1 (6) (b) If f…

A: (a) Given that f(8)=6.

Q: (x(x+1), if x S-2 f (x) ={ 4x +5, if -2< x<1 - 2x +3, if x 2 1

A:

Q: If the function is f(x) =3x+5 and the domains are -1, 0,4,7, what's the range

A: Given function is f(x)=3x+5 given domains are -1,0,4,7 find the range of the function

Q: State the end behavior of the function f(x) = -9x + 5x – 7x³ + 3x? – 6x As x - o, f(x) → Preview As…

A:

Q: Evaluate f(-5), (0), and f(3) for the piecewise defined function. - 4 if x < 0 f(x) : if x 2 0 f(-5)…

A: