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That's the function rule.

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What is The output is eight less than the input function rule?

f(x) = x - 8.


What 9 less than g to the fourth power?

g^4 - 9


What characteristics of the graph of a function by using the concept of differentiation first and second derivatives?

If the first derivative of a function is greater than 0 on an interval, then the function is increasing on that interval. If the first derivative of a function is less than 0 on an interval, then the function is decreasing on that interval. If the second derivative of a function is greater than 0 on an interval, then the function is concave up on that interval. If the second derivative of a function is less than 0 on an interval, then the function is concave down on that interval.


In exponential growth functions the base of the exponent must be greater than 1. How would the function change if the base of the exponent were 1 How would the function change if the base of the expon?

"The base of the exponent" doesn't make sense; base and exponent are two different parts of an exponential function. To be an exponential function, the variable must be in the exponent. Assuming the base is positive:* If the base is greater than 1, the function increases. * If the base is 1, you have a constant function. * If the base is less than 1, the function decreases.


For each function determine whether y varies directly with x if so find the constant of variation and write the function rule x 2 y 14?

You need more than one pair of values in order to answer the question.

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