Question

Find the x - and y -intercepts of the graph of the function f(x)=−3|x+3|+3 .Enter your answers as points, (a,b). Enter the x -intercepts in order of increasing x -value. If there are no x -intercepts, enter NA in both answer areas.x intercepts? y intercepts?

Answer 1

Given: The function below

$f(x)=-3|x+3|+3$

To Determine: The x - and y -intercepts of the graph of the given function

Solution

Let us graph the function

From the above: the x-intercept is the points where the graph crosses the x-axis, at point where y = 0. While the y-intercept is the point where the graph crosses the y-axis, at point x = 0

$x-intercepts:(-4,0),(-2,0)$$y-intercept:(0,-6)$

Hence:

x-intercepts: (-4, 0) and (-2, 0)

y-intercept: (0, -6)