Math 150 Calculus I Quiz 1 Practice PDF
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San Diego State University
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Summary
This document is a quiz on calculus, specifically focused on functions and transformations. It includes problems requiring students to solve for unknowns in functions, find composite functions, and understand graph transformations. It's designed for undergraduate-level mathematics students.
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Math 150 : Calculus I Quiz 1 Practice Name: __________________________ Activity Section/ TA Name:__________________________ 1. In the function f (x) = 7x + d, a. Find d, if f (1) = 2 b. What is the slope of a li...
Math 150 : Calculus I Quiz 1 Practice Name: __________________________ Activity Section/ TA Name:__________________________ 1. In the function f (x) = 7x + d, a. Find d, if f (1) = 2 b. What is the slope of a line that is perpendicular to f(x)? 2. Biologists have noticed that the number of times a cricket chirps in a minute is related to temperature, and the relationship is linear. A cricket produces 113 chirps in a minute at 70°F and 173 chirps in a minute at 80°F. Find the chirps in a minute, if the temperature is 100°F. 3. Consider the functions f(x) = sin x, g(x) = 5 - 𝑥, and h(x) = x + 2. Find the composite function 𝑓 ◦ 𝑔 ◦ ℎ (𝑥) and find its domain. (𝑥−1) 4. Given 𝑦 = 𝑒 , write the equation that shifts the graph of y three units to the left. 5. Assume you have a function f(x). Describe the transformations that occur when we graph 𝑓(− 𝑥) + 5
