If two lines are parallel, describe the relationship between their slopes. Choose the correct answer below. () A. If two nonvertical lines are parallel, then the product of the slopes of the two lines is 1. (O B. If two nonvertical lines are parallel, then they have the same slope. (O C. If two nonvertical lines are parallel, then the sum of the slopes of the two lines is 0. (O D. If two nonvertical lines are parallel, then the product of the slopes of the two lines is - 1. 4 gy x @ )[4 Given the function f(x) = X2 -21 , X2 0, complete parts a through c. (a) Find an equation for f~ il (x). (b) Graph f and 1 in the same rectangular coordinate system. (c) Use interval notation to give the domain and the range of f and f~ T (a) Find f " (x). 0= (Type an exact answer, using radicals as needed.) (b) Graph f and ! in the same coordinate system. Choose the correct graph below. O A O B. Q Q Q Q o 4 c) State the domain and range of f and f~ 1 using interval notation. g g The domain of f(x) is | |, and the range of f(x) is The domain of f '(x)is [ |, and the range of f ' (x) is Use the given conditions to write an equation for the line in point-slope form and slope-intercept form. Passing through (-4, - 5) and (1,5) What is the equation of the line in point-slope form? (Simplify your answer. Use integers or fractions for any numbers in the equation.) What is the equation of the line in slope-intercept form? (Simplify your answer. Use integers or fractions for any numbers in the equation.) 4 e @ N Y Complete the square and write the given equation in standard form. Then give the center and radius of the circle and graph the equation. x2 +y2+4x+4y+4=0 The equation in standard form is (Simplify your answer.) The center of the circle is (Type an ordered pair.) The radius of the circle is r= Use the graphing tool to graph the circle. el Click to -~ enlarge "~ graph Y. o P + 5% @ Y4 Determine whether the function is even, odd, or neither. Then determine whether the function's graph is symmetric with respect to the y-axis, the origin, or neither. 10 f(x)=x2+x +3 Determine whether the function is even, odd, or neither. Choose the correct answer below. () neither ) even O odd Determine whether the graph of the function is symmetric with respect to the y-axis, the origin, or neither. Select all that apply. y-axis origin neither Find f + g, f- g, fg and -. Determine the domain for each function. g f(x) = 3x2 - 8x - 16, g(x) = x-4 (. . . (f + 9)(x) = (Simplify your answer.) What is the domain of f + g? O A. The domain of f + g is { }. (Use a comma to separate answers as needed.) O B. The domain of f + g is . (Type your answer in interval notation.) O c. The domain off+ g is 0. (f - 9)(x) = (Simplify your answer.) What is the domain of f - g? O A. The domain of f- g is { }. (Use a comma to separate answers as needed.) O B. The domain of f- g is . (Type your answer in interval notation.) O c. The domain of f- g is . (fg)(x) = (Simplify your answer.) What is the domain of fg? O A. The domain of fg is { }. (Use a comma to separate answers as needed.) O B. The domain of fg is . (Type your answer in interval notation.)f Find f+g, f-g, fg and E Determine the domain for each function. f(x) = 3x% - 8x - 16, g(x) =x - 4 () . The domain of f-gis @. (fg)(x)= :l (Simplify your answer.) What is the domain of fg? () A. The domain of fg is { } (Use a comma to separate answers as needed.) () B. Thedomainoffgis | |. (Type your answer in interval notation.) () . The domain of fg is @. f [a] (x)= (Simplify your answer.) f What is the domain of a? f () A. The domain of is | |. (Type your answer in interval notation.) f (O B. The domain of 5 is { } (Use a comma to separate answers as needed.) f () . The domain of a is @. Evaluate the piecewise function at the given values of the independent variable. g (x ) = x +4 if x 2 - 4 - (x+4) ifx