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If two lines are parallel, describe the relationship between their slopes. Choose the correct answer below. () A. If two nonvertical lines are parallel, then
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 Use the graph of f to determine each of the following. (a) the domain of f (b) the range of f (c) the zeros of f (d) f(4) X (e) the intervals on which f is increasing (f) the intervals on which f is decreasing (g) the values for which f(x) so (h) any relative maxima or minima (i) the value(s) of x for which f(x) = 4 (i) Is f(3) positive or negative? (a) The domain of f is . (Type your answer in interval notation.) (b) The range of f is (Type your answer in interval notation.) (c) The left zero of the function is - 2.5 and the right zero is (d) f(4) = (e) The interval on which f is increasing is . (Type your answer in interval notation.) (f) The interval on which f is decreasing is . (Type your answer in interval notation.) (g) Which interval or union of intervals represents the values for which f(x)
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