Math 1300 Fall 2024 Past Paper PDF

Summary

This document contains questions about functions and graphs, including finding intervals where a function is increasing or decreasing and analyzing the domain and range of functions. It also includes word problems related to linear functions.

Full Transcript

## Math 1300 - Fall 2024 **Name:** zedd mansool **NUID #:** 54343457 **Section #:** 5 ### LO 1 Foundations **Interval List:** | Interval | | -------------- | | [-∞,-2] | | [-∞,1] | | [-∞,3] | | [-∞,4] | | [-2,∞] | | [1,∞] | | [3,∞] |...

## Math 1300 - Fall 2024 **Name:** zedd mansool **NUID #:** 54343457 **Section #:** 5 ### LO 1 Foundations **Interval List:** | Interval | | -------------- | | [-∞,-2] | | [-∞,1] | | [-∞,3] | | [-∞,4] | | [-2,∞] | | [1,∞] | | [3,∞] | | [4,∞] | | (-∞,-2) | | (-∞,1] | | (-∞,3) | | (-∞,4) | | (-2,∞) | | (1,∞) | | (3,∞) | | (4,∞) | | (-∞,-2) | | (-∞,1] | | (-∞,3) | | (-∞,4] | | (-2,∞] | | (1,∞) | | (3,∞] | | (4,∞) | | [-∞,-2) | | (-∞,1) | | (-∞,3) | | (-∞,4) | | (-2,∞) | | [1,∞) | | (3,∞) | | (4,∞) | 1. The graph of the function g(x) is shown below. Choose intervals from the list above to determine where g(x) is increasing and decreasing. Write your response in the appropriate box. * **Increasing:** (-∞,3) * **Decreasing:** [3,∞) 2. The graph of the function f(x) is shown below. Choose intervals from the list above to determine the domain and range of f(x). Write your response in the appropriate box. * **Domain:** [-3,4) * **Range:** [4,∞) ## LO 2 Linear Functions 3. Rachel has a gift card to use at the Arbor Day Orchard. Buying 3 pounds of apples, leaves $15.53 on her gift card. Buying 11 pounds of apples, leaves $3.61 on her gift card. (a) Choose the linear equation that models the situation if x represents the number of pounds of apples Rachel buys and y represents the amount left on her gift card. * y-15.53 = -1.49(x – 11) * y-3.61 = -1.49(x - 11) (b) Explain the meaning of the y-intercept using phrases from the word bank to fill in the blank. The y-intercept is the **original-value of the gift card** to the Arbor Day Orchard. (c) Explain the meaning of the x-intercept using phrases from the word bank to fill in the blank. The x-intercept is the **ending value of the gift card** of apples Rachel can purchase. (d) Explain the meaning of the slope using phrases from the word bank to fill in the blanks. The amount of money remaining on the gift card is **changing value** by $1.49 for each **maximum number of pounds** she buys. **Word Bank:** * decreases * original-value of the gift card * ending-value of the gift card * increases * stays constant * maximum number of pounds * minimum number of pounds * changing-value * pound of apples * number of apples

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