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

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

Match the key aspect of a function's graph with its meaning 3-intercept location on-example-1

1 Answer

3 votes

Answer:

y- intercept --> Location on graph where input is zero

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

x- intercept --> Location on graph where output is zero

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

Explanation:

Y-intercept: The y-intercept is equivalent to the point where x= 0. 'x' is the input variable in an equation, therefore the y-intercept is where the input, or x, is equal to 0.

f(x) <0: Notice the 'lesser than' sign. This means that the value of f(x), or 'y', is less than 0. This means that this area consists of intervals of the domain below the x-axis.

X-intercept: The x-intercept is the location of the graph where y= 0, or the output is equal to 0.

f(x) >0: In this, there is a 'greater than' sign. This means that f(x), or 'y', is greater than 0. Therefore, this consists of intervals of the domain above the x-axis.

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