Respuesta :
We are given the graph of the function y = f(x) graphed over the interval - 7 a) To evaluate the given functions, we will find their corresponding values on the y axis.
From the graph,
[tex]\begin{gathered} f(-1)=7 \\ f(-5)=-1 \end{gathered}[/tex]b)The function where f(x)< 0 is the interval where the graph goes below the x- axis.
This gives;
[tex]\lbrack-6,-4\rbrack[/tex]c) The range is the resulting y-values we get after substituting all the possible x-values. This gives values of the function on the y-axis that corresponds to a value on the x-axis.
[tex]\lbrack-1,7\rbrack[/tex]d)The domain is all the x values for which the function exists, this the interval over which the function has been graphed.
[tex]\lbrack-7,7\rbrack[/tex]e)The x-intercepts of the function is where the graph of the function cuts across the x-axis the is given at;
[tex]x=-4\text{ and x=-6}[/tex]f)The interval over which the function is increasing is the part of the curve that is increasing. This occurs at;
[tex]\lbrack-5,-1\rbrack[/tex]fii ) The interval over which the function is decreasing is the part of the curve that is decreasing. This occurs at;
[tex]\lbrack5,7\rbrack[/tex]