An exponential growth model is appropriate when consecutive function values appear to be changing by a constant

Let f(x) = (2x - 3)(2x + 3). What are the constant, linear, and quadratic terms of function f?

Solve the equation, where $k$ is a positive constant.

$$3 k x^2-7 x=0$$

A population grows exponentially with a proportionality constant of $1.5%.% How long will it take the population to double?

Describe the behavior of the balloon in the preceding problem when you're (b) rounding a curve at constant speed.

Describe how air pressure changes with an increase in altitude. Does it change at a constant rate?

Give the constant term, $a_0$.

$$15-11 t^9-8 t^4$$

Identify the terms, the coefficients, and the constant(s) in the expression $-7 t+6 v+7-19 y$.

Determine the derivatives for the given function. Assume $k$ is a constant.

$$P(t)=e^{2 t}$$

What happens to $y$ when $x$ is doubled? Here $k$ is a positive constant.

$$y=\frac{k}{x^3}$$

If f(x) defines a constant function over $(-\infty, \infty)$, how many elements are in the range of $(f \circ f)(x)$?

For the formula in the following Exercise, is y directly proportional to x ? If so, give the constant of proportionality.

$$y=\sqrt{5 x}$$

Find the value of the constant $b$ such that the function $f(x)=\sqrt{x+1}+\frac{b}{x}$ has a point of inflection at $x=3$.

Graph the linear function. Give the domain and range. Identify any constant functions. $f(x)=0$