Graphing with Logarithmic Functions Assignment | Assignment - Edubirdie

University:
Concordia University Texas
Course:
MTH 3101 | Problem Solving: Algebra, Geometry, and Trigonometry
Academic year:

2020
Views:

217

Pages:

1
Author:

Initafattaugsif

Graphing Logarithmic Functions Background: Have you ever been swimming in a pool, and your eyes were red when you get out? This means the chemicals in the pool were not adjusted correctly! More specifically, the measurement of the pool's pH was not quite right. pH is a measurement of hydronium ions and can be modeled by the function f(x) = −log10x. The variable x represents the amount of hydronium ions, and f(x) gives the pH level. Different liquids have ideal pH values that are different. Water at 25 degrees Celsius has a pH of 7. Anything that has a pH less than 7 is called acidic, and a pH above 7 is basic, or alkaline. Seawater has a pH just more than 8, whereas lemonade has a pH of approximately 3. Assignment: 1. Create a graph of the pH function either by hand or using technology. Locate on your graph where the pH value is 0 and where it is 1. You may need to zoom in on your graph. Your graph should look curved. Copy and paste a picture of the graphed pH function below: 2. Use your graph to find the ideal pH level if the amount of hydronium ions is raised to 0.50. (Hint: Look at the graph and see what the pH level is when x = 0.50.) f(0.50)= 0.301

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