Answer all please (1-12 multiple choice) (13-15 short answer)

1. Which funetien matches this graph? HI) = (222? 3 f)=3?:3 fwj=s mi 3 f}:mME3 2. Complete the square to find the maximum or minimum of the function: re} 23:2 8:::1i] Maximum: 4 Minimum: 5 Maximum: E Minimum: 10 10. I-IF 7c, 9, A-APR 1, 3, A-CED 2: From the graph, Find the equation of the 4 POINTS polynomial function. 5 Of(x) = 2(x -2)2 (x + 1)2 (x - 1) Of(x) = (x+2)(x -1)(x+1) Of(x) = (x+2)2(x - 1)2 (x + 1) Of(1) = 2(x + 2)2(x - 1)2(x + 1) 11. Determine all asymptotes of the rational function: f (x) = 2(12 -16) 4 POINTS C+3 Vertical asymptote: x=-3 Horizontal asymptote: none Slant asymptote: y=2x-6 Vertical asymptote: x=3 Horizontal asymptote: none Slant asymptote: y=x-3 Vertical asymptote: x=3 Horizontal asymptote: y=2 Slant asymptote: none Vertical asymptote: x=-3 Horizontal asymptote: y=2 Slant asymptote: none12. Using the graph of the rational function,Make an equation for the function. 2{m4}{:r!+l'j lI2}{I2} 2|:J'I4H3r: 1} [-15 2H,: ~2] 2{:r.-+4}{:r!1'_i [x2}{x+2} Type your answer into the field below. 13. lCalista was tasked with writing an inverse function and verifying it was an inverse. The function she was given was air) : %w + 6. She stated that the inverse function was f'1(;r} = 232 6 because multiplying by 2 is the inverse of dividing by 2 {multiplying by 12'2} and subtracting 6 is the inverse to adding 6. Since this function contains both inverse operations to the original, it must be the inverse. Her logic seems sound, but how can you verify if they are inverses algebraically? Explain the process of verification. If she has the incorrect inverse, what is the correct inverse function to f? Explain her misconceptions and how to find the inverse correctly. Normal Enter yccr resporse here 14. Danny was given the following graph and asked to determine the y-intercept, 20 POINTS x-intercepts, and the equation of the function. Below is his answer and his work. Determine if Danny's answer is correct. If not, help Danny find his mistakes. Describe to Danny what he did wrong and how he should fix his answer. Then, give the correct answer. f(x) = a(x + 1)(x - 2) 4 = a(0 + 1)(0 -2) 4 = a(1)(-2) 4 = a(-2) -2 = a 2 y-intercept: (0, 4) x-intercepts: (-2, 0), (1, 0) Equation: f(x) = -2(x + 1)(x -2) BIUS Normal X2 X2 fx Enter your response here15. Trevor was given a rational function and asked to determine the intercepts 20 POINTS and asymptotes. Below is his work. Determine if Trevor correctly identified the intercepts and asymptotes for the function. If not, help Trevor find his mistakes. Describe to Trevor what he did wrong and how he should fix his answer. Then, give the correct answer. Determine the intercepts and the asymptotes of the following function: x2 - 36 f (x) x2 - 4 y-intercept: (0, 9) x-intercepts: (36, 0), (4, 0) vertical asymptote: x = 4 horizontal asymptote: y = 1 BIUS Normal X2 X2 fx Enter your response here3. Solve: 2V - 6+1 =9 4 POINTS O 22 70 O No solution 8 4. Find (fog) (1) for f (x) = 23 - 2x - 3 and g (x) = Vx+3-5 4 POINTS . Undefined -18 O -24 30 5. You launch a projectile with the following equation: 4 POINTS h (t) = -16t2 + 16t + 32. When will the projectile object hit the ground? O 4 seconds 16 seconds 2 seconds 1 second6. Blake has a small business selling T-shirts. His sales from January to 4 POINTS May have been recorded in the chart below. Find a function to model his monthly sales where January is x=1, February is x=2,... January $200 February $300 March $340 April $370 May $400 Of(x) = 100vx -1 + 200 Of(x) = 100(x - 1) + 200 Of(x) = 100r + 100 Of (x) = 100Vx - 1 + 200 7. Describe the end behavior of the function: f (x) = 5x4 4 POINTS f (x) - coast- -0 O f (x) - 0as 1 -+ 00 f (x) - coast f (x) -Do as * -+ 00 f (x) O f (x) - -0 as f (x) -coast- * -00 f (x) -+ coast -+ 00 8. Use the Linear Factorization Theorem to find all complex solutions (real 4 POINTS and not real): f (x) = x - 256 .) * = 14 * = 14i O 1 = 14, 14i * = 1169. From the graph, determine the y-intercept, the x-intercepts and their 4 POINTS multiplicity, and the end behavior. + of Y-intercept: (8, 0) X-intercepts: (-2, 0), multiplicity of 1 (-1, 0), multiplicity of 2 (1, 0), multiplicity of 1 f(x) --co as x--00 f(x) - 0 as x -+ co Y-intercept: (8, 0) X-intercepts: (-2, 0), multiplicity of 1 (-1, 0), multiplicity of 1 (1, 0), multiplicity of 1 f(x) --0o as x --00 f(x) --0o as x -+ 00 Y-intercept: (0, 8) X-intercepts: (2, 0), multiplicity of 2 (1, 0), multiplicity of 1 (-1, 0), multiplicity of 2 f(x) - cas x --co f(x) - -0 as x -+ 00 Y-intercept: (0, 8) X-intercepts: (-2, 0), multiplicity of 2 O (-1, 0), multiplicity of 1 (1, 0), multiplicity of 2 f(x) --0 as x--00 f(x) - co as x -+ 00