III. Consider the function /(x)=x(x-3)² a) Establish the domain of the function, and write it in interval notation b) Determine the intersections with the coordinate axes c) Determine if the function is even, odd or neither of them

Q: a) Graph f(x). b) Find f(1). Show it algebraically. c) List the x and y intercepts. Show it…

A: the objective is to write the equations represented in this piecewise function graph.

Q: Determine whether the relation represents y as a function of x.

A: A function defines a special relationship where single output is obtained from each input . For…

Q: Determine whether the equation y = -√(x + 4) defines y as a function of x.

A:

Q: Give the domain of the function  y = x2/3. as interval notation

A: Given : y = x2/3  To find : Domain of the given function.

Q: Determine whether the equation defines y as a function of x : x = y2

A: The given function is: The given function has to be y=f(x).

Q: Determine the function ƒ represented by the graph of the line y = ƒ1x2 in the figure.

A: given: the graph of the function y=f(x). the given points are: (0,-1) and  (3,-3).

Q: Determine whether the equation x + y = 25 defines y as a function of x.

A: Equation:          x + y = 25  Yes, the given equation defines y as a function of x.

Q: wing function: f(x) = x² – 7x +10 the coordinates for the v-intercent.

A:

Q: Graph the function with domain of all the real numbers: f(x) = 5 for x ≥ 3, and f(x) = -6 for x <…

A: Draw the line and the line on the cartesian plane.

Q: Determine whether the equation x = y2 defines y as a function of x.

A: Consider the following equation: x=y2 For x&gt;0 there are two values of y. Substitute x=4 in the…

Q: 1. for f(x)=x2 + 2 AND g (x)= 8 - 7x, evaluate:  a) g(-3a + 1) b) g(-3a + 1) - f(a+4) c) x when…

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

Q: 2 int () if –10<x<0 g(x)= -5 if x = 0 -0.5x +4x if 0<x<10

A:

Q: Determine whether the equation defines y as a function of x : x + y = 16

A: The given equation is x+y=16.

Q: Find an expression for f(x) and state its domain in interval notation given that f is the function…

A:

Q: Determine whether the equation |x |- y = 5 defines y as a function of x.

A: |x|-y=5

Q: 1.x²y+y=4 O True O False 2.2+x=y³ O True O False 3.x+6= y² O True O False 4. x² + y = 8 O True O…

A:

Q: Find the domain of the function in interval notation: f(x) = V + 17 %3D

A: Domain is the set of x values for which the function is defined We know that square root (negative…