# decimal form

STEP ONE: Write the following statement on your paper, and sign the statement to indicate that you will honor it, or else I will not grade your exam: “I affirm that during this test, I will honor Glendale Community College’s policy on academic honesty by not cheating — in particular, I will not communicate with any person during the test, other than my teacher Mike Allen.” STEP TWO: You do not need to copy the questions below on to your papers, but number each of the ten problems on your paper and SHOW YOUR WORK for them, then express your answers in complete sentences (your English does not have to be perfect]. The test is open notes and open book, and numbers in your answers should be written in decimal form, rounded to 3 significant figures. If I need further clarification of your work, or need to verify it is yours, I will conduct a follow-up video interview with you. 1. The relationship between Fahrenheit (F) and Celsius (C) temperature scales is given by the linear function C = 5 9 ( F − 32 ) . Graph this function, then identify the slope and explain what it represents. 2. Solve the inequality: 3×2 + x – 10 < 0 3. Graph the function g(x) = 3 – cos(πx) 4. For the function h(x) = ln(x3 – 5), give two simpler functions, f(x) and g(x), that compose to be h(x). Indicate whether h = f∘g,org∘f 5. Graph a function for which f(3) = 2, and for which the limit of f as x approaches 1 from the “positive” side is -4, and for which the limit of f as x approaches 1 from the “negative” side is 2. 6. For the function f ( x ) = sin ( x ) x what is the limit as x approaches positive infinity? What is it’s limit as x approaches negative infinity? 7. For the function f ( x ) = x 2 − 5 x + 6 3 − x what is the limit as x approaches 3? 8. Give an example of a function, for which the limit as x approaches 1 does not exist. 9. For the function g(x) = 10. 12 ( x + 2 ) 2 what is the limit as x approaches – 2 ? For the function f ( x ) = 4 − 2 3 x what is the limit as x goes to 5? Prove your answer is correct using the definition of a limit. STEP THREE: When you are done, submit your test papers the way you submit homework, as attachments (not in HEIC format) to ratiocn8@gmail.com, from your GCC email address.

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