Question

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) = ___a0
f (2) = ___a1

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 = ___a2,___a3, and____a4

f (-8) = ___a5
f (-6) = ___a6

Answer 1

Part 1) f(0)=1

Part 2) f(2)=2

Part 3) x=-7, x=-2, x=-4

Part 4) f(-8)=3

Part 5) f(-6)=-3

Explanation:

Using the given graph

Part 1) Find f(0)

f(0) means ----> The value of the function f(x) for the value of x equal to zero

Looking at the graph

For x=0 The value of f(x)=1

so

f(0)=1

Note: The value of the function when the value of x is equal to zero is called the y-intercept or initial value

Part 2) Find f(2)

f(2) means ----> The value of the function f(x) for the value of x equal to 2

Looking at the graph

For x=2 The value of f(x)=2

so

f(2)=2

Part 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 that

The value of x when the value of the function is equal to zero is called the x-intercepts or roots of the function

Looking at the graph

The value of f(x) is equal to zero

when the values of x are

x=-7, x=-2, x=-4

Part 4) Find f(-8)

f(-8) means ----> The value of the function f(x) for the value of x equal to -8

Looking at the graph

For x=-8 The value of f(x)=3

so

f(-8)=3

Part 5) Find f(-6)

f(-6) means ----> The value of the function f(x) for the value of x equal to -6

Looking at the graph

For x=-6 The value of f(x)=-3

so

f(-6)=-3