Straighterline MAT201 PRECALCULUS GRADED EXAM 1 (New Version August 2024)

Question 1 Correct 6.25 points out of 6.25 a. Use transformations to graph the function. b. Write the domain and range in interval notation. c. Determine the vertical asymptote. Select one: a. a. b. domain:   c. vertical asymptote: b. a. b. domain:     y = log5(x + 3) (0, ∞) (−∞, ∞) x = 0 (3, ∞) (−∞, ∞) x = 3 Straighterline PRECALCULUS GRADED EXAM 1 (New Version August 2024) We are a team of experts offering course/class attendance (including final proctored exams!!) for all Straighterline, Online ATI, HESI, NCLEX, Portage Learning, Sophia, Nursing, Business etc courses. We also write essays, discussion posts, research papers and school assignments. Should you need any of these services, Contact us via email: or : +1 (540) 753-5914. Guaranteed Passing!Question 2 Correct 6.25 points out of 6.25 c. a. b. domain: , range c. vertical asymptote: d. a. b. domain: , range : c. vertical asymptote: Determine whether the two functions are inverses. and Select one: a. Yes b. No (−3, ∞) (−∞, ∞) x = −3 (0, ∞) (−∞, ∞) x = 0 f(x) = 6x + 6 g(x) = 6 + x 6Question 3 Incorrect 0.00 points out of 6.25 The graph of a function is given. Graph the inverse function. Select one: a. b.c. d.Question 4 Correct 6.25 points out of 6.25 Solve the problem. The monthly costs for a small company to do business has been increasing over time in part due to inflation. The table gives the monthly cost for the month of January for selected years. The variable represents the number of years since . Year is Monthly Costs Mostly Cost (Jan.) for selected Years Year ( represents ) Use a graphing utility to find a model of the form . Write the function from part as an exponential function with base . Use the model to predict the monthly cost for January in the year if this trend continues. Round to the nearest hundred dollars. Select one: a. y (in $) t 2008 (t = 0 2008) ($) y 0 1 2 3 14, 000 14, 200 14, 400 14, 600 t = 0 2008 a. y = abt b. (a) e c. 2017 a. y = 14, 001(1.014)t b. y = 14, 001e0.0140t c. $15, 900b. c. d. a. y = 14, 001(0.0140)t b. y = 10e0.0140t c. $91, 900 a. y = 14, 001(1.014)t b. y = 14, 001e1.014t c. $91, 900 a. y = 14, 001(1.014)t b. y = 10e0.0140t c. $15, 900Question 5 Incorrect 0.00 points out of 6.25 Graph the function and write the domain and range in interval notation. Select one: a. Domain: Range: b. Domain: Range: f(x) = ( 2 5 )x (−∞, ∞) (0, ∞) (0, ∞) (−∞, ∞)Question 6 Correct 6.25 points out of 6.25 c. Domain: Range: d. Domain: Range: Simplify the expression. Select one: a. b. c. d. (−∞, ∞) (0, ∞) (0, ∞) (−∞, ∞) 4log4(x5−7) x5 x5 − 7 5 − 7Question 7 Correct 6.25 points out of 6.25 Question 8 Correct 6.25 points out of 6.25 Write the domain in interval notation. Select one: a. b. c. d. Solve the problem. Eight million E. coli bacteria are present in a laboratory culture. An antibacterial agent is introduced and the population of bacteria decreases by half every hr. The population can be represented by . Convert this to an exponential function using base . Select one: a. b. c. d. f(x) = log9 ( x − 5 ) x + 8 (−∞, ∞) (−8, 5] (−8, 5) (−∞, −8) ∪ (5, ∞) P(t) 5 P(t) = 8, 000, 000( 1 2 )t/5 e P(t) = 8, 000, 000e−0.13863t P(t) = 4, 000, 000e−0.1t P(t) = 4, 000, 000e−0.13863t P(t) = 8, 000, 000e−0.1tQuestion 9 Correct 6.25 points out of 6.25 Question 10 Correct 6.25 points out of 6.25 Solve the equation. Select one: a. b. c. d. Convert the given angle to degrees-minutes-seconds form. Round to the nearest second, if necessary. Select one: a. 27 ∘ 6′ 19′′ b. ( 27^ circ, 19^prime , 83^{prime prime} ) c. ( 27^circ , 22^prime , 14^{prime prime} ) d. ( 27^circ , 13^prime , 17^{prime prime} ) log x + log(x − 11) = log(x − 35) {−7, −5} {7} {7, 5} { } 27.22139∘Question 11 Correct 6.25 points out of 6.25 Question 12 Correct 6.25 points out of 6.25 Solve the problem. A pulley is ( 8.5 , ft ). in diameter. Through how many degrees should the pulley rotate to lift the load ( 93.5 , ft )? Round to the nearest degree. Select one: a. ( 2521^circ ) b. ( 1261^circ ) c. ( 22^circ ) d. ( 3960^circ ) Use a calculator to approximate the function values. Round to 4 decimal places. ( cos, , (-4.29) ) Select one: a. ( 0.7285 ) b. ( -0.4099 ) c. ( 0.9972 ) d. ( 0.9977 )Question 13 Correct 6.25 points out of 6.25 Question 14 Incorrect 0.00 points out of 6.25 Given the value of one trigonometric function of an acute angle ( θ ), find the values of the remaining five trigonometric functions of ( θ ). ( displaystyle tan , , theta = frac{5}{11} ) Select one: a. ( displaystyle sin , , theta = frac{5}{sqrt{146}} , , , cos , , theta = frac{11} {sqrt{146}}, , , csc , , theta = frac{sqrt{146}}{5}, , , sec , , theta = frac{sqrt{146}}{11}, , , cot , , theta = frac{11}{5} ) b. ( displaystyle sin , , theta = frac{5}{sqrt{146}} , , , cos , , theta = frac{11} {sqrt{146}}, , , csc , , theta = frac{sqrt{146}}{5}, , , sec , , theta = frac{sqrt{146}}{11}, , , cot , , theta = frac{5}{11} ) c. ( displaystyle sin , , theta = frac{sqrt{146}}{5} , , , cos , , theta = frac{sqrt{146}}{11}, , , csc , , theta = frac{5}{sqrt{146}}, , , sec , , theta = frac{11}{sqrt{146}}, , , cot , , theta = frac{11}{5} ) d. ( displaystyle sin , , theta = frac{11}{sqrt{146}} , , , cos , , theta = frac{5} {sqrt{146}}, , , csc , , theta = frac{sqrt{146}}{5}, , , sec , , theta = frac{sqrt{146}}{11}, , , cot , , theta = frac{11}{5} ) Use a calculator to approximate the degree measure to 1 decimal place of the angle ( theta ) subject to the given conditions. ( cos theta = bigg(- displaystyle frac{4}{5} bigg) ) and ( 90^{circ} theta 180^{circ} ) Select one: a. ( 126.9^{circ} ) b. ( 143.1^{circ} ) c. ( 216.9^{circ} ) d. ( 233.1^{circ} )Question 15 Correct 6.25 points out of 6.25 Question 16 Correct 6.25 points out of 6.25 The times for high and low tide are given in the table below. The times are rounded to the nearest hour, and the tide levels are measured relative to mean sea level (MSL). Write a model ( h(t) = A , cos , (Bt - C) ) to represent the tide level ( h(t) ) in feet in terms of the amount of time ( t ) elapsed since midnight. Time (hr after midnight) Height relative to MSL (feet) High tide ( 0 ) ( 3.2 ) Low tide ( 6 ) ( -3.2 ) High tide ( 12 ) ( 3.2 ) Low tide ( 18 ) ( -3.2 ) High tide ( 24 ) ( 3.2 ) Select one: a. ( displaystyle h(t) = 3.2 , cos , left( frac{pi}{6}t - 6 right) ) b. ( displaystyle h(t) = 6.4 , cos , left( frac{pi}{6}t right) ) c. ( displaystyle h(t) = 3.2 , cos , left( frac{pi}{6}t right) ) d. ( displaystyle h(t) = 1.6 , cos , left( frac{pi}{6}t - 6 right) ) Find the exact value. ( cot^{-1} 1 ) Select one: a. ( displaystyle frac{pi}{4} ) b. ( -displaystyle frac{pi}{2} ) c. ( - displaystyle frac{pi}{4} ) d. ( displaystyle frac{3pi}{4} )Question 17 Correct 6.25 points out of 6.25 Question 18 Correct 6.25 points out of 6.25 Question 19 Correct 6.25 points out of 6.25 Find the exact value or state that the expression is undefined. ( cos^{-1} bigg( displaystyle frac{sqrt{3}}{2} bigg) ) Select one: a. Undefined b. ( - displaystyle frac{pi}{4} ) c. ( displaystyle frac{pi}{6} ) d. ( - displaystyle frac{pi}{3} ) Use an appropriate Pythangorean identity to find the indicated value. Given ( csc t = displaystyle frac{37}{35} ) for ( 0 t displaystyle frac{pi}{2} ), find the value of ( cot t ). Select one: a. ( displaystyle frac{12}{35} ) b. ( - displaystyle frac{12}{35} ) c. ( - displaystyle frac{35}{12} ) d. ( displaystyle frac{35}{12} ) Use reference angles to find the exact value. ( tan bigg( displaystyle frac{21pi}{4} bigg) ) Select one: a. ( displaystyle frac{sqrt{3}}{3} ) b. ( 0 ) c. ( 1 ) d. ( sqrt{3} )© 2023 StraighterLine. All rights reserved Question 20 Correct 6.25 points out of 6.25 Find two angles between ( 0 ) and ( 2pi ) for the given condition. ( sin(theta) = - displaystyle frac{sqrt{2}}{2} ) Select one: a. ( displaystyle frac{3}{4} pi ) and ( displaystyle frac{7}{4} pi ) b. ( displaystyle frac{1}{4} pi ) and ( displaystyle frac{3}{4} pi ) c. ( displaystyle frac{5}{4} pi ) and ( displaystyle frac{1}{4} pi ) d. ( displaystyle frac{5}{4} pi ) and ( displaystyle frac{7}{4} pi ) Quiz navigation Show one page at a time Finish review