CHAPTER TWO REVIEW

QUESTION ONE Is the relation a function? Why or why not?

QUESTION ONE Is the relation a function? Why or why not? No, (2,2) and (2,1) have the same input, but different outputs.

QUESTION TWO Is the relation a function? Why or why not? (1,2), (2,3), (3,4), (4,5), (5,6)

QUESTION TWO Is the relation a function? Why or why not? (1,2), (2,3), (3,4), (4,5), (5,6) Yes, for each input, there is exactly one output.

QUESTION THREE Find the domain and range of the relation. (5,0),(8,3), (1,3), (-5,2), (3,8)

QUESTION THREE Find the domain and range of the relation. (5,0),(8,3), (1,3), (-5,2), (3,8) Domain: -5, 1, 3, 5, 8 Range:0, 2, 3, 8

QUESTION FOUR Given f(x) = -2x – 4 and g(x) = -x – 6. Find f(2) + g(-6)

QUESTION FOUR Given f(x) = -2x – 4 and g(x) = -x – 6. Find f(2) + g(-6) f(2) + g(-6) = -8

QUESTION FIVE Are the lines parallel or perpendicular? Why? y = 2x + 6 2x – y = 7

QUESTION FIVE Are the lines parallel or perpendicular? Why? y = 2x + 6 2x – y = 7 The lines are parallel, because the slopes are the same.

QUESTION SIX Are the lines parallel or perpendicular? Why? 3x + 6y = 12 y = 2x + 8

QUESTION SIX Are the lines parallel or perpendicular? Why? 3x + 6y = 12 y = 2x + 8 The lines are perpendicular, because the slopes are negative reciprocals of each other.

QUESTION SEVEN Write the equation of the line given m = 2 and through (3,4) in point-slope form, slope-intercept form and standard form.

QUESTION SEVEN Write the equation of the line given m = 2 and through (3,4) in point-slope form, slope-intercept form and standard form. (y – 4) = 2(x – 3) y = 2x – 2 -2x + y = -2

QUESTION EIGHT Write the equation of the line through (-4, 6) and perpendicular to y = -2x + 7 in point-slope form, slope-intercept form and standard form.

QUESTION EIGHT Write the equation of the line through (-4, 6) and perpendicular to y = -2x + 7 in point-slope form, slope-intercept form and standard form. (y – 6) = ½(x + 4) y = ½ x + 8 -½x + y = 8

QUESTION NINE Given 2y = -4x – 12, find the slope, x-intercept, y-intercept and then graph.

QUESTION NINE Given 2y = -4x – 12, find the slope, x-intercept, y-intercept and then graph. Slope is -2 x-intercept is (-3,0) y-intercept is (0, -6)

QUESTION TEN Graph:2x – 3y > -12

QUESTION TEN Graph:2x – 3y > -12

QUESTION ELEVEN Graph:y = |x – 4| + 2

QUESTION ELEVEN Graph:y = |x – 4| + 2

QUESTION TWELVE Solve and graph:-16 < -3x – 5 < 4

QUESTION TWELVE Solve and graph:-16 < -3x – 5 < 4

QUESTION THIRTEEN Solve and graph:-3|4x – 1| - 6 = -9

QUESTION THIRTEEN Solve and graph:-3|4x – 1| - 6 = -9

QUESTION FOURTEEN At the beginning of week 7, the math teacher has 250 pencils. At the beginning of week 10, the teacher has 220 pencils. a)Write an equation to model the number of pencils the teacher has after x weeks. b)How many pencils will the teacher have after 18 weeks?

QUESTION FOURTEEN At the beginning of week 7, the math teacher has 250 pencils. At the beginning of week 10, the teacher has 220 pencils. a)Write an equation to model the number of pencils the teacher has after x weeks. y= -10x +320 b)How many pencils will the teacher have after 18 weeks? 140 pencils