Chapter 4, Problem 33RE

Use the Vertical Line Test to determine whether the graph represents y as a function of x.

Why does the vertical line test tell as whether the graph of a relation represents a function?

Choose the correct answer Please number of choose only please to all . 1-For what values of x is the function f(x)=-x2-2x+15  decreasing? A)(-infinity,-2].  B)(-infinity,-1)  C)[-2,infinity)  D)(-1, infinity) 2-For what values of x is the function f(x)=1/2x(x2-3x-9) decreasing? A)(-3,1) B) (-1, 3)      C)[-1, 3]  D)(-infinity,-1)union(3, infinity) 3-For what values of x is the function f(x)=4x2+4x-3  increasing? A)(-infinity,-1/2) B)(-infinity,-1/2]. C)(-1/2, infinity). D)[-1/2, infinity) 4-For what values of x is the function  F(x)=4x3+12x2-3  concave down ? A)(-infinity,-1) B)(-infinity,-2). C)(-1, infinity). D)(-2, infinity) 5-For what values of x is the function f(x)=4x3+12x2-3  concave up? A)(-infinity,-1) B)(-infinity,-2). C)(-1, infinity). D)(-2, infinity) 6- The critical values of f(x) = x+ 1/x is A) {0}  B) {1,-3}   C){1,-1}   D){2,-2})

Question Of Evaluate of the function f (x, y) = x³ + y²x - 3. Write the expression in terms of x and y. Provide your answer below:

Pls help ASAP

Part 1: Is f(x) continuous at x=8? Explain why or why not. Part 2: Is f(x) differentiable at x=8? Explain why or why not.