Question 115516


Let's evaluate an x-value that is to the left of x=-3. Let's evaluate {{{f(-5)}}}



{{{f(x)=x^2+6x-2}}} Start with the given function.



{{{f(-5)=(-5)^2+6(-5)-2}}} Plug in {{{x=-5}}}. In other words, replace each x with -5.



{{{f(-5)=(25)+6(-5)-2}}} Evaluate {{{(-5)^2}}} to get 25.



{{{f(-5)=(25)+-30-2}}} Multiply 6 and -5 to get  -30



{{{f(-5)=-7}}} Now combine like terms



-----------Now let's evaluate another value---------



Let's evaluate an x-value that is to the left of x=-3. Let's evaluate {{{f(-4)}}}



{{{f(x)=x^2+6x-2}}} Start with the given function.



{{{f(-4)=(-4)^2+6(-4)-2}}} Plug in {{{x=-4}}}. In other words, replace each x with -4.



{{{f(-4)=(16)+6(-4)-2}}} Evaluate {{{(-4)^2}}} to get 16.



{{{f(-4)=(16)+-24-2}}} Multiply 6 and -4 to get  -24



{{{f(-4)=-10}}} Now combine like terms







-----------Now let's evaluate another value---------



Let's evaluate an x-value that is to the right of x=-3. Let's evaluate {{{f(-2)}}}



{{{f(x)=x^2+6x-2}}} Start with the given function.



{{{f(-2)=(-2)^2+6(-2)-2}}} Plug in {{{x=-2}}}. In other words, replace each x with -2.



{{{f(-2)=(4)+6(-2)-2}}} Evaluate {{{(-2)^2}}} to get 4.



{{{f(-2)=(4)+-12-2}}} Multiply 6 and -2 to get  -12



{{{f(-2)=-10}}} Now combine like terms



-----------Now let's evaluate another value---------



Let's evaluate an x-value that is to the right of x=-3. Let's evaluate {{{f(-1)}}}



{{{f(x)=x^2+6x-2}}} Start with the given function.



{{{f(-1)=(-1)^2+6(-1)-2}}} Plug in {{{x=-1}}}. In other words, replace each x with -1.



{{{f(-1)=(1)+6(-1)-2}}} Evaluate {{{(-1)^2}}} to get 1.



{{{f(-1)=(1)+-6-2}}} Multiply 6 and -1 to get  -6



{{{f(-1)=-7}}} Now combine like terms


Now lets make a table of the values we have calculated


<pre>
<TABLE width=500>

<TR><TD> x</TD><TD>y</TD></TR>
<TR><TD> -5</TD><TD>-7</TD></TR> 
<TR><TD> -4</TD><TD>-10</TD></TR> 
<TR><TD> -3</TD><TD>-11</TD></TR> 
<TR><TD> -2</TD><TD>-10</TD></TR> 
<TR><TD> -1</TD><TD>-7</TD></TR> 
</TABLE>
</pre>