Describe the relationship of input and output values for composite functions

a technician earns a salary of 37200 plus $40 for each hour of overtime worked. Write a function to model her salary using meaningful variables.

Is the independent variable of a function associated with the domain or range? Is the dependent variable associated with the domain or range?

Suppose the demand for Colin's kidney pies is linear in the price P. Further, assume that he can sell 100 pies when the price is $5.00 and 65 pies when the price is $10.00. (a) Determine the demand N (number of pies sold) as a function of the price P (in dollars). (Express numbers in exact form. Use symbolic notation and fractions where needed.) N(P) = (b) What is the slope of the graph of N(P)? (Give an exact answer. Use symbolic notation and fractions where needed.) slope: pies/dollar

find the inverse if the function is one-to-one {(18,1),(-19,-7),(16,6)}

Does the composition of functions display the commutative property? Give an example of each case to illustrate your answer.

Describe the Algebraic Functions?

At Gunterville College, tuition rates for in-state residents were $92 per credit for the first 10 credits, $35 per credit for credits 11-18, and for over 18 credits the rate is $74 per credit. Write a piecewise defined function for the total tuition, T, at Gunterville College as a function of the number of credits taken, c.

What is linear property of the mathematical function?

A number of pizzas, P, made in the local pizzeria per day depends on the number of employees, w, working that day and given by the formula . Explain what the inputs and outputs of inverse function represent.