Question

Match the key aspect of a function's graph with its meaning.

f(x) > 0
intervals of the domain where the
graph is above the x-axis
f(x) < 0
location on graph where input is zero
x-intercept
location on graph where output is
zero
y-intercept
intervals of the domain where the
graph is below the x-axis

Answer 1

Intervals of the domain where the graph is above the x-axis (f(x) > 0)

location on graph where input is zero (y-intercept)

location on graph where output is zero (x-intercept)

Intervals of the domain where the graph is below the x-axis (f(x) < 0)

Explanation:

answer edge 2020

Answer 2

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)

Explanation:

Verify each case

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