Answered

Choose any three to answer thoroughly with complete sentences.

1. How can exponential and logarithmic functions be created to use in real-world situations?

2. How do you use properties of exponents and logarithms to rewrite functions in equivalent forms and solve equations?

3. What are the key features of logarithmic and exponential graphs, and how do transformations affect them?



Answer :

GinnyAnswer

Final answer:

Explanations on exponential and logarithmic functions, properties, and graph transformations.


Explanation:

1. How can exponential and logarithmic functions be created to use in real-world situations?

Exponential functions represent growth or decay situations. For example, compound interest, population growth, or radioactive decay. Logarithmic functions are used to solve equations involving exponents, such as finding the time needed for an investment to reach a certain value.

2. How do you use properties of exponents and logarithms to rewrite functions in equivalent forms and solve equations?

Properties of exponents and logarithms allow us to simplify complex expressions and equations. For example, combining logarithms using the product rule to condense expressions or using the power rule to move exponents to the front for easier calculations.

3. What are the key features of logarithmic and exponential graphs and how do transformations affect them?

Logarithmic graphs have asymptotes and never touch certain values. Exponential graphs show rapid growth or decay. Transformations such as shifts or stretches alter these graphs, affecting their slope or position on the coordinate plane.


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