Answer:
Part 1) Intervals of the domain where the graph is above the x-axis (f(x) > 0)
Part 2) location on graph where input is zero (y-intercept)
Part 3) location on graph where output is zero (x-intercept)
Part 4) Intervals of the domain where the graph is below the x-axis (f(x) < 0)
Step-by-step explanation:
<u><em>Verify each case</em></u>
Part 1) we have
Intervals of the domain where the graph is above the x-axis
we know that
If the graph is above the x-axis, then the value of f(x) is positive
therefore
f(x) > 0
Part 2) we have
location on graph where input is zero
Let
x ---> the independent variable or input value
f(x) ---> the dependent variable or output value
we know that
The y-intercept is the value of f(x) (output value) when the value of x (input value) is zero
therefore
y-intercept
Part 3) we have
location on graph where output is zero
Let
x ---> the independent variable or input value
f(x) ---> the dependent variable or output value
we know that
The x-intercept is the value of x (input value) when the value of the function f(x) (output value) is zero
therefore
x-intercept
Part 4) we have
Intervals of the domain where the graph is below the x-axis
we know that
If the graph is below the x-axis, then the value of f(x) is negative
therefore
f(x) < 0
