Find the average of the function over the given interval. f(x) = x over [-2, 2] Plot the function and its average on the same graph. y y 5 f(x) f(x) - x 2. - x 2 -2 1. -2 1 -5 -5 y y 5 f(X) fx) X X -2 1 2 -2 2

Write the function as a composition of two functions. 1 2 y= (x² +8x) ³ - 7(x² +8x)³ +3 x² + 8x) ³ Choose the correct answer below. O A. O B. O C. 1 2 f f(x)=x² + 8x and g(x)=x³ - 7x³ +3, then y = f[g(x)]. 3 3 If f(x) = x³ - 7x² +3 and g(x)=x² +8x, then y = f[g(x)]. 1 2 If f(x) = 8x³ - 56x³ +3 and g(x)=x², then y = f[g(x)]. 1 2 OD. If f(x)=x If f(x)=x³ - 7x³ +3 and g(x)=x² + 8x, then y = f[g(x)].

Write the function as a composition of two functions. 2 3-(x²+6x)³-3(x²-6x)³+6 y= (x²+6x)³-3(x²+6x) ³ +6 Choose the correct answer below. ○ A. If f(x) = x²+6x and g(x)=x ов. о с. 1 2 1 2/3 3x3 +6, then y f[g(x)]. 2 If f(x)=x -3x3 +6 and g(x)=x+6x, then y = f[g(x)]. 3 3 2 2 If f(x)=x³-3x² +6 and g(x) = x²+6x, then y = f[g(x)]. 1 OD. If f(x) = 6x³ 2 -18x3 +6 and g(x) = x², then y = f[g(x)].

Find the domain and range of the given function algebraically. Verify your answer using a graph. h(x) = Vx - 23 Domain: O (-*, ) O (-0, -23] [0, ) (-0, 0] [23, 0) Range: O (-0, 0) [0, 0) O [23, 0) (-00, -23] (-0, -23)