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Refer to the graph of y=f(x) below Find the domain of the function in interval notationFind the value of f(2)Find the values of x for which f(x)=-2Find the coordinates of the y-intercept Find the coordinates of the x-intercepts Step By Step Explanation Please

Refer to the graph of y=f(x) below Find the domain of the function in interval notationFind-example-1
User Jani Jalkala
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The domain of the function

The domain is all the values of the x-intercept for which the function is defined

Hence, the domain is -1 ≤ x < 4

We can represent the above in interval notation as [ -1, 4)

Value of f(2)

This simply means the value of y when x = 2. To find this, locate the vlue of y at x=2 on the graph.

At x=2, we need to move downward to get the value of y

Hence f(2) = - 3

The values of x for which f(x) = - 2

It is simply asking us to find the values of x at a point when y=-2

At y=-2, we have two values of x, they are:

x= 1 and x= 3

Y-intercept

The y -intercept is the point at which the function cut the across the y-axis and for that to occur, x must be equal to zero at that point.

Hence, the y -intercept is (0, 1)

x - intercepts

The x intercept is the point at which the function cut across the x-axis and the value of y at that point must equal zero for that to occur.

We have two x - intercepts

(0.2 , 0) and ( 3.8, 0)

User Talley
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