Identify the type of conic section that has the equation 9x2+ 16y2 = 144 and identify its domain and range.
ellipse
domain: {–3 ≤ x ≤ 3}
range: {–4 ≤ y ≤ 4}
ellipse
domain: {–4 ≤ x ≤ 4}
range: {–3 ≤ y ≤ 3}
hyperbola
domain: all real numbers
range: {y ≤ –4 or y ≥ 4}
hyperbola
domain: {x ≤ –4 or x ≥ 4}
range: all real numbers

  b.   the average rate of change of f(x) is less than the average rate of change of g(x).

step-by-step explanation:

since the length of the interval is the same in each case, we only need to compare the change in y-value to see which is greater.

so the change in y-value for function f is (6 )) = 9.

the table tells us

so the change in y-value for function g is (31 -1) = 30.

the change in y-value of f(x) on the interval is less than the change in y-value of g(x) on the same interval, so the average rate of change of f(x) is less than the average rate of change of g(x).

the answer is b.)

< 1=< 2