Consider the piecewise-defined function Jr+3, |1- x, x < 0, f(x) = x > 0. (a) FUNCTION, so it must pass the vertical line test! (Erase if you need to...) Graph f(x) on the coordinate plane given below. Remember f(x) is a 4 3 1 -4 -3 -2 -1 1 3 4 -1 -2 -3 -4 (b) F(0) lim f(x) =

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: 8-4 Identify all the points of discontinuity of the function ()%D 4)/(4x3-x)]. Classify each type of…

A:

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: let f (x) =ex-1+3 which is the graph of x?

A:

Q: Is the point (1, -2) on the graph of the function k(x) = x2 + (2&gt;x)?

A: Given, k(x) = x2 + (2/x) To check Is the point (1, -2) on the graph of the function

Q: Find the range of the function f(x) = 1/3x-5, if the domain is { -3, 0, 6}

A: f(x)=13x-5Domain is -3,0,6substitute x=-3f(-3)=13(-3)-5=1-9-5=-114

Q: Describe the translation in f(x)= 2*² +5 as it relates to the parent function f(x)=2^

A: Given,          The translation in fx=2x-2+5 as it relates to the parent function fx=2x.

Q: Draw the graph of any function f (x) that passes through the point (3, 2).

A: Consider the function  f(x)=x-1. Put x=3. f(3)=3-1=2. So the graph of the function passes through…

Q: Assume that f is a one-to-one function. (a) If f(7) = 15, find f(15). f-1(15) = (b) If f-1(40) = 20,…

A: Use one to one function property

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: lim(log(3x +1)) 2. 3 lim(sin (5x2+ 10) 3. *2

A:

Q: Find an expression for the function f(x) whose graph is a line passing through the points (4, 5) and…

A: Find the slope of the line. Start with the slope formula.

Q: Give the range of the function in interval notation f(x) =2(x+1)2 + 7

A: