Q:

A function is defined as a relation for which each x-value has exactly one corresponding y-value. The graph of a function, f(x) is shown below. Use the graph of the function, f(x), to complete each statement. Enter numerical answers into the spaces provided.f (0) = ___a0f (2) = ___a1For the function f (x) there are exactly three x-values for which the corresponding y-value is zero. In ascending order f (x) = 0 when x = ___a2,___a3, and____a4f (-8) = ___a5f (-6) = ___a6

Accepted Solution

A:
Answer:Part 1) f(0)=1Part 2) f(2)=2Part 3) x=-7, x=-2, x=-4Part 4) f(-8)=3Part 5) f(-6)=-3Step-by-step explanation:Using the given graphPart 1) Find f(0)f(0) means ----> The value of the function f(x) for the value of x equal to zeroLooking at the graphFor x=0 The value of f(x)=1sof(0)=1Note: The value of the function when the value of x is equal to zero is called  the y-intercept or initial valuePart 2) Find f(2)f(2) means ----> The value of the function f(x) for the value of x equal to 2Looking at the graphFor x=2 The value of f(x)=2sof(2)=2Part 3) For the function f (x) there are exactly three x-values for which the corresponding y-value is zero. In ascending order f (x) = 0 when x =?we  know thatThe value of x when the value of the function is equal to zero is called the x-intercepts or roots of the functionLooking at the graphThe value of f(x) is equal to zerowhen the values of x arex=-7, x=-2, x=-4Part 4) Find f(-8)f(-8) means ----> The value of the function f(x) for the value of x equal to -8Looking at the graphFor x=-8 The value of f(x)=3sof(-8)=3Part 5) Find f(-6)f(-6) means ----> The value of the function f(x) for the value of x equal to -6Looking at the graphFor x=-6 The value of f(x)=-3sof(-6)=-3