Directions. Identify what is asked based on the given definition. Refer to Chapter 1
to look for answers. Write your answers on the space provided before each
number.
____1. It is an inverse of an exponential function and is defined by the
equation f(x) = logax.
____2. It is defined by the equation f(x) =
g(x)
h(x)
wherein g(x) and h(x) are
both polynomial functions.
____3. It is a rule that relates values from a set of values (called the domain)
to a second set of values (called the range).
____4. A type of test used to determine if the graph represents a function.
____5. It is a function whose definitions involve more than one formula.
____6. It is a relation where each element in the domain is related to only
one value in the range by some rule.
____7. It is a special polynomial function and defined by the equation f(x) =
c, where c β R. In this function, each x value corresponds to one and only one y
value. The graph of which is a horizontal line.
____8. It is defined by the equation f(x) = a
x where a β₯ 0 and a β 1.}
____9. It is defined by the equation βg(x)
n wherein g(x) is a polynomial
function and n is a non-negative integer greater than 1.
____10. It is a function that can be expressed in the form of a polynomial.
No, an function only contains a certain amount of vertices; leaving a logarithmic function to NOT be the inverse of an exponential function.
An exponential function is of the form y = a^x, where a is a constant. The inverse of this is x = a^y --> y = ln(x)/ln(a), where ln() means the natural log.
The logarithm function. If y = bx, then x = by is the inverse --> y = logb(x). If b = 10, then the function is often stated with the '10' implied: just log(x). For natural logarithms (y = ex), the function y = ln(x) [which indicates loge(x)] is the inverse.
The inverse of the inverse is the original function, so that the product of the two functions is equivalent to the identity function on the appropriate domain. The domain of a function is the range of the inverse function. The range of a function is the domain of the inverse function.
One is the inverse of the other, just like the arc-sine is the inverse of the sine, or division is the inverse of multiplication.
No. The inverse of an exponential function is a logarithmic function.
No, an function only contains a certain amount of vertices; leaving a logarithmic function to NOT be the inverse of an exponential function.
Yes.
Logarithmic Function
The inverse function of the exponential is the logarithm.
An exponential function is of the form y = a^x, where a is a constant. The inverse of this is x = a^y --> y = ln(x)/ln(a), where ln() means the natural log.
The logarithm function. If you specifically mean the function ex, the inverse function is the natural logarithm. However, functions with bases other than "e" might also be called exponential functions.
Assuming that b > 0, it is an inverse power function or an inverse exponential function.
The inverse of a logarithmic function is an exponential function. So to find the "inverse" of the log function, you use the universal power key, unless you're finding the inverse of a natural log, then you use the e^x key.
Yes, y = loga(x) means the same as x=ay.
The exponential function, in the case of the natural exponential is f(x) = ex, where e is approximately 2.71828. The logarithmic function is the inverse of the exponential function. If we're talking about the natural logarithm (LN), then y = LN(x), is the same as sayinig x = ey.
the function of that is the inverse function of the exponential growth of an animal cell. square root that and multiply it by 2, then ull get ure answer.