What functions are either always increasing or always decreasing? Select all that apply.Question 4Select one or more:a.quadraticb.square rootc.Noned.absolute valuee.linearf.exponential
Question
What functions are either always increasing or always decreasing? Select all that apply.Question 4Select one or more:a.quadraticb.square rootc.Noned.absolute valuee.linearf.exponential
Solution
The functions that are either always increasing or always decreasing are:
e. Linear f. Exponential
Linear functions are always increasing or decreasing depending on their slope. If the slope is positive, the function is always increasing. If the slope is negative, the function is always decreasing.
Exponential functions are always increasing if the base is greater than 1, and always decreasing if the base is between 0 and 1.
Quadratic functions are not always increasing or decreasing, they increase or decrease depending on the value of x.
Square root functions are always increasing, but at a decreasing rate.
Absolute value functions are not always increasing or decreasing. They increase or decrease depending on the value of x.
So, the correct answers are e. Linear and f. Exponential.
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