University:
Georgia Southern University
Course:
MATH 1441 | Calculus I
Academic year:

2024
Views:

330

Pages:

3
Author:

Jalen W.

Instructor: Neelam Aggarwal Course: Spring 2022 - Calculus I (MATH1441-02F) Student: Jalen Wilson Date: 07/11/24 Assignment: Section 1.5 Enhanced Assignment 1. Simplify the expression and write answers using positive exponents only. All variables represent positive real numbers. 6 −3 125a b 6 − 3 2/3 125a b 2/3 25a = b 4 (Simplify your answer. Use positive exponentsonly.) 2 2. Graph the function. f(x) = 5 x A. B. 8 y C. 8 y 8 x -8 8 D. y 8 x -8 -8 8 y x -8 -8 8 x -8 -8 8 -8 3. Graph the function. f(x) = 1 x 2 A. B. 8 y C. 8 y 8 x -8 8 -8 D. y 8 x -8 8 -8 y x -8 8 -8 x -8 8 -8 4. An economist predicts that the buying powerB(x) of a dollar x years from now will decrease according to the formula B(x) = 0.73x . How much willtoday's dollar be worth in 2 years? Round the answer to the nearest cent. A. $0.94 B. $1.46 C. $0.53 D. $1.66 5. Sketch the given curves together in the appropriate coordinate plane and label each curve with its equation. x x y = 5 , y = 2 , y = 3 −x 1 , y = x 4 x x Sketch y = 5 as a solidcurve, y = 2 as a dashedcurve, y = 3 −x x 1 as a dottedcurve, and y = as a dash-dotted curve. Choose the 4 correct sketch of the given curves. A. B. 5 4 1 x y= 3 4 y=3 y=5 x y=2 x 5 1 x y= 4 2 −x y=3 1 -3 -2 -1 C. y −x x 1 -1 2 3 -3 -2 -1 y 4 3 y=5 x y=2 x 2 1 5 4 y=5 x y=2 x 1 2 3 3 y=3 2 1 x -1 y -3 -2 -1 1 x y= 1 -1 −x 4 x 2 3 6. Sketch the given curves together in the appropriate coordinate plane and label each curve with its equation. 1 3x y = e , y = e2x Choose the correct sketch of the given curves. A. B. 9 C. y 9 y 9 y 6 y=e 3 -3 -2 -1 -3 1 -6 -9 6 x 2 y= 6 3x 1 e 2x y= 3 3 y=e 3x -3 -2 -1 1 e2x x 1 2 3 y= 1 y = e3x 3 e2x x -3 -2 -1 1 2 3 7. Sketch the shifted exponential functions. x y = 2 + 2 and y = 2 −x +2 Use the graphing tool to graph the functions. 10 8 6 4 2 -10 -8 -6 -4 -2-2 -4 -6 -8 -10 8. Use the laws of exponents to simplify. 36 − 8.5 − 8.5 • 36 9 9 36 • 36 = 6 (Simplify youranswer.) y x 2 4 6 8 10 9. Use the laws of exponents to simplify. 64 64 64 8.6 8.1 8.6 = 8 8.1 64 (Simplify youranswer.) 10. Use the laws of exponents to simplify the expression. 3 1 64 3 1 64 18 18 = 2 (Simplify youranswer.) 11. Use the laws of exponents to simplify the expression. 6 3 3 12. 6 •6 •6 6 6 = 18 6 Find the domain and range for the function f(x) = The domain is ( − ∞, ∞) 1 2+e 3x . . (Simplify your answer. Type your answer in interval notation. Use integers or fractions for any numbers in theexpression.) The range is 0, 1 2 . (Simplify your answer. Type your answer in interval notation. Use integers or fractions for any numbers in theexpression.) 13. Use a graph to find the approximate solution. x 6 =7 x Which of the following shows the graphs of y = 6 and y = 7? A. B. C. D. Each graph is shown in a [ − 5,5,1] by[0,10,1] viewing window. The approximate solution is x ≈ 1.0860 (Round to four decimal places asneeded.) . 14. Use a graph to find an approximate solution. x 3 − 1.1 = 0 x= 0.0868 (Type an integer or decimal rounded to four decimal places asneeded.)