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# 3. [8/11 Points] DETAILS PREVIOUS ANSWERS LARCALCET7 2.5.011. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Consider the following

3. [8/11 Points] DETAILS PREVIOUS ANSWERS LARCALCET7 2.5.011. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Consider the following function. 1 f(x) = x2 - 36 Complete the following table. (Round your answers to two decimal places.) X -6.5 -6.1 -6.01 -6.001 -6 -5.999 -5.99 -5.9 -5.5 f(x) || 0.16 0.83 8.33 8.33 ? -83.34 -8.34 -0.84 -0.84 Use the table to determine whether f(x) approaches oo or -o as x approaches -6 from the left and from the right. lim f(x) X-6 lim f(x) ~ x--6+ Use a graphing utility to graph the function to confirm your answer. y y 4 4 2 2 X X -8 -4 -2 -8 4 -2 - 2 y 4 y 41 2 2 X X -2 -8 4 -2 - 2 -2 -4