MATH 1375 CUNY NYCCT Precalculus Polynomial Inequalities & Inverse Functions Test

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this questions are mostly functions and graph nd its precalculus pls anybody can help in need for urgent answer

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MAT1375
Fall 2020
Test 1
Write clearly and show all work to get full credit. Submit it as a pdf file on
Blackboard.
Question 1 (10 points). Solve the inequalities. Write your answers in interval
notation.
a) (5 points) |4𝑥 + 9| ≥ 7
b) (5 points) |3𝑥 − 7| < 2 Question 2 (10 points). Graph the polynomial 𝑓(𝑥) = 𝑥 3 − 3𝑥 2 − 25𝑥 − 21. Find all zeros, and local extrema from the graph. Round your answers to the nearest hundredths. Question 3 (10 points). Let 𝑓(𝑥) = 2𝑥 2 − 5𝑥 − 4. Simplify the difference quotient 𝑓(𝑥+ℎ)−𝑓(𝑥) ℎ as much as possible, ℎ ≠ 0. Check by substituting 𝑥 = −1 and ℎ = 3 in the above formula and in your answer, and comment on the results. Question 4 (10 points). Let 𝑓(𝑥) = 𝑥 2 − 2𝑥 − 63, 𝑔(𝑥) = 7𝑥 − 2, and ℎ(𝑥) = √3 − 2𝑥. a) (5 points) Find the difference (ℎ − 𝑓)(𝑥) and state its domain. 𝑔 b) (5 points) Find the quotient ( ) (𝑥) and state its domain. 𝑓 Question 5 (10 points). Let 𝑓(𝑥) = 3𝑥 2 − 2𝑥 + 1 and 𝑔(𝑥) = 4𝑥 − 3. Find the composition a) (5 points) (𝑓°𝑔)(𝑥); b) (5 points) (𝑔°𝑓)(𝑥). MAT1375 Fall 2020 Question 6 (10 points). Find the inverse of the function: a) (5 points) 𝑓(𝑥) = b) (5 points) 𝑓(𝑥) = 3𝑥−7 ; 2−5𝑥 √𝑥 2 − 9. Question 7) (15 points). Determine if the function is even, odd, or neither. a) 𝑓(𝑥) = 5𝑥 2 − 3𝑥 + 2; b) 𝑔(𝑥) = 7𝑥 7 − 3𝑥 3 − 𝑥; c) ℎ(𝑥 ) = 5𝑥 4 +3 𝑥2 . Purchase answer to see full attachment Tags: inequalities polynomial precalculus inverse functions difference quotient User generated content is uploaded by users for the purposes of learning and should be used following Studypool's honor code & terms of service.