striker_77 said:hey i have some hmwk and need help with a few questions. I would appreciate it if i could get some explanations :)
1i) state the domain, range and the equations of the asymptotes.
a) y= 1 / x+3
b) y= (-2 / x-3) + 2
striker_77 said:i think i got the first one :S. is it that i draw the basic function of 1/x, then move that 3 units to the left?
An exponential function is a mathematical function of the form f(x) = ab^x, where a and b are constants and x is the independent variable. It is characterized by a constant ratio between successive values of the dependent variable, which results in a steeply increasing or decreasing curve.
Exponential functions are commonly used to model growth or decay in natural phenomena such as population, bacteria growth, and radioactive decay. They are also used in finance to model compound interest and in physics to describe processes such as radioactive decay.
To graph an exponential function, you can first create a table of values by choosing different values for x and then plugging them into the function to find the corresponding y values. These points can then be plotted on a coordinate plane and connected to form a curve. Alternatively, you can use a graphing calculator to graph an exponential function.
An exponential function has a variable in the exponent, while a power function has a variable in the base. This results in a curved graph for an exponential function and a straight line for a power function. Additionally, exponential functions have a constant ratio between successive values, while power functions do not.
Exponential functions can be used to model and predict growth or decay in various real-world situations. For example, they can be used to predict population growth, stock market trends, and the spread of diseases. They can also be used to make financial decisions, such as planning for retirement or investing in stocks.