week 01 - review

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Week 1 HomeEnjoyment: Review Answer the questions on a separate piece of graph paper. Be sure to include your first and last name, assignment title, and the date you completed the assignment in the top right corner of your paper. 1. Study the unit circle and use Quizlet to practice evalutating trig functions at different angles. 2. Describe in words (no formulas) how to find the slope of a line given two points. 3. Describe in words (no formulas) how to find the equation of a line that is perpendicular to the line L. 4. Write a definition for the domain of a function in your own words. 5. Let L be the line determined by points A and B. Plot A and B, find the slope of L, and draw the graph of L. (a) A(1,-2), B(2,1) (b) A(2,3), B(-1,3) 6. Draw the following functions and write their domains in interval notation. (a) The squaring function (b) The cubing function (c) The square root function (d) The cube root function (e) The reciprocal function (f) The greatest integer function 7. Find an equation of the line line that passes through the point P and has the indicated slope. Then sketch the line. (a) P: (0,3), Slope m = 3 4 (b) P: (-2,4), Slope m = - 3 5 8. Write an equation for the line through P that is parallel to L and perpendicular to L. Sketch all three lines on one coordinate axis. (a) P: (0,0), L: y = -x + 2 (b) P: (-2,2), L: 2x + y = 4 9. Find the domains of f , g, f + g, f · g (a) f ( x)= x, g( x)= x - 1 (b) f ( x)= x + 1, g( x)= x - 1 10. If f ( x)= x + 5 and g( x)= x 2 - 3, find the following. (a) f ( g (0)) (b) g ( f (0)) (c) f ( g ( x)) (d) g ( f ( x)) (e) f ( f (-5)) (f) g ( g (2)) (g) f ( f ( x)) (h) g ( g ( x)) Horizon Christian Academy AP Calculus AB

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Week 1 HomeEnjoyment: ReviewAnswer the questions on a separate piece of graph paper. Be sure to include your rstand last name, assignment title, and the date you completed the assignment in the topright corner of your paper.1. Study the unit circle and use Quizlet to practice evalutating trig functions at differentangles.2. Describe in words (no formulas) how to nd the slope of a line given two points.3. Describe in words (no formulas) how to nd the equation of a line that is perpendicular tothe line L.4. Write a denition for the domain of a function in your own words.5. Let L be the line determined by points A and B. Plot A and B, nd the slope of L, and drawthe graph of L.(a) A(1,-2), B(2,1) (b) A(2,3), B(-1,3)6. Draw the following functions and write their domains in interval notation.(a) The squaring function(b) The cubing function(c) The square root function(d) The cube root function(e) The reciprocal function(f) The greatest integer function7. Find an equation of the line line that passes through the point P and has the indicatedslope. Then sketch the line.(a) P: (0,3), Slope m =34(b) P: (-2,4), Slope m = 358. Write an equation for the line through P that is parallel to L and perpendicular to L. Sketchall three lines on one coordinate axis.(a) P: (0,0), L: y = x + 2 (b) P: (-2,2), L: 2x + y = 49. Find the domains off , g, f+ g, f g(a) f (x) = x,g(x) =x 1 (b) f (x) =x + 1,g(x) =x 110. Iff (x) = x + 5 and g(x) = x23, nd the following.(a) f(g (0))(b) g ( f(0))(c) f(g (x))(d) g ( f(x))(e) f( f(5))(f) g (g (2))(g) f( f(x))(h) g (g (x))Horizon Christian Academy AP Calculus AB