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10. Find the domain of the function (f-g)(x) given f(x) = and g(x) = x+1 x-2 {x \x * -1,x + 2} c. {x|x€ R} a. b. {x|x+1,x + 2} d. {x|x*-1} 11. Determine the v-intercont

10. Find the domain of the function (f-g)(x) given f(x) = and g(x) = x+1 x-2 {x \x * -1,x + 2} c. {x|x€ R} a. b. {x|x+1,x + 2} d. {x|x*-1} 11. Determine the v-intercont

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.2: Transformations Of Quadratic Functions
Problem 50PFA
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10. Find the domain of the function (f-g)(x) given ƒ(x) 3D and g(x) = x+1 x-2 {x \ x *-1,x + 2} c. {x|x€ R} a. b. {x|x +1,x + 2} d. {x|x*-1} 11. Determine the y-intercept of the polynomial function f(x)= 4x-3x² +x-x+3. (0, 3) a. b. (0,-3) с. d. 0,- 12. Give the equation of the function g(x) if its graph is the graph of f(x) = x³ shifted 2 units upward and 3 units to the right. g(x) = x +5 g(x) = 2x +3 d. g(x) = (x-3)' +2 a. b. 8(x) = (x+3)' +2 C. 13. Describe the transformation of f(x) = (x-3)' with respect to the graph of g(x) = x². opens narrower than the graph of g(x); shifted 3 units to the right b. opens wider than the graph of g(x); shifted 3 units to the right а. с. opens narrower than the graph of g(x); shifted 3 units to the left d. opens wider than the graph of g(x); shifted 3 units to the left 14. Given the function f (x) = x, which of the following functions show a transformation involving a reflection over the x-axis and y-axis with a shift of 4 units to the left and 9 units downward? b. f(x) =-0.2|-x+4|-9 d. f(x) =-0.2|-x-4|+9 f(x) = -0.2|-x+9|-4 a. f(x) =-0.2|-x-9|+ 4 с. 2x-3 15. Find f (7) if f(x) = / 3 b. 150 75 d. 50 C. a. 200 16. Which of the following is a one-to-one function? b. f(x) = |x+1| on (-1, ∞) a. f(x) = x²on (-0o, ∞) d. f(x) = x+1| on (-0, 00) c. f(x) = x* on (-1, ∞) x+2 ? x-3 17. What is the inverse of f(x) = 3x2-2 b. f(x)= x+1)(x-1) 3x2 +2 a. f(x) =- (x+1)(x -1) 3x-2 3x2 +2 d. f(x) =-- c. f(x) =- (x+1)(x-1) (x+1)(x-1)
Transcribed Image Text:10. Find the domain of the function (f-g)(x) given ƒ(x) 3D and g(x) = x+1 x-2 {x \ x *-1,x + 2} c. {x|x€ R} a. b. {x|x +1,x + 2} d. {x|x*-1} 11. Determine the y-intercept of the polynomial function f(x)= 4x-3x² +x-x+3. (0, 3) a. b. (0,-3) с. d. 0,- 12. Give the equation of the function g(x) if its graph is the graph of f(x) = x³ shifted 2 units upward and 3 units to the right. g(x) = x +5 g(x) = 2x +3 d. g(x) = (x-3)' +2 a. b. 8(x) = (x+3)' +2 C. 13. Describe the transformation of f(x) = (x-3)' with respect to the graph of g(x) = x². opens narrower than the graph of g(x); shifted 3 units to the right b. opens wider than the graph of g(x); shifted 3 units to the right а. с. opens narrower than the graph of g(x); shifted 3 units to the left d. opens wider than the graph of g(x); shifted 3 units to the left 14. Given the function f (x) = x, which of the following functions show a transformation involving a reflection over the x-axis and y-axis with a shift of 4 units to the left and 9 units downward? b. f(x) =-0.2|-x+4|-9 d. f(x) =-0.2|-x-4|+9 f(x) = -0.2|-x+9|-4 a. f(x) =-0.2|-x-9|+ 4 с. 2x-3 15. Find f (7) if f(x) = / 3 b. 150 75 d. 50 C. a. 200 16. Which of the following is a one-to-one function? b. f(x) = |x+1| on (-1, ∞) a. f(x) = x²on (-0o, ∞) d. f(x) = x+1| on (-0, 00) c. f(x) = x* on (-1, ∞) x+2 ? x-3 17. What is the inverse of f(x) = 3x2-2 b. f(x)= x+1)(x-1) 3x2 +2 a. f(x) =- (x+1)(x -1) 3x-2 3x2 +2 d. f(x) =-- c. f(x) =- (x+1)(x-1) (x+1)(x-1)
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