For many engineering situations, exponential and logarithmic models are used to describe the relationships between dependent and independent variables because they predict the actual relationships more accurately than linear models do.Group of answer choicesTrueFalse

The simplest form of equations commonly used to describe a wide range of engineering situations is ...Group of answer choiceslinear models.nonlinear models.exponential models.logarithmic models.

Please answer the following questions related to exponential and logarithmic functions:(i)What are exponential and logarithmic functions? How are they related? What are their key factors (Explain the variables used in the definitions of these functions)? Discuss their domain and range.(ii) What is the difference between exponential, logarithmic, and power functions? Provide one mathematical example for each and illustrate the differences of growth patterns and any special points (such as asymptotes, intercepts, and zeros), if applicable. Graph the examples. (iii)How to explain if a function has exponential growth?(iv)Between exponential and logarithmic functions, which one grows faster? Provide an explanation for your answer.(v) Write the observations of growth patterns and special points (if any) by drawing the graphs for the examples given

The equation that describes how the dependent variable (y) is related to the independent variable (x) is called

________ are mathematical functions used in predictive analytical models which define phenomena that increase at a specific rate, and is represented by the formula y = axb Group of answer choicesExponential functionsPower functionsPolynomial functionsLogarithmic functions

explain and illustrate exponential growth, logistic growth, and carrying capacity,