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What else can I help you with?
How do you know if an equation is exponential?
Basically, in an exponential expression (or equation) you have the independent variable in the exponent. For example: 5 times 10x The general form of an exponential function can be written as: abx or: aekx where a, b, and k are constants, and e is approximately 2.718. Note that just having a power doesn't mean you have an exponential equation. For example, in x3 the variable does NOT appear in the exponent, so it is not an exponential expression.
A logarithmic function takes the exponential function's and returns the exponential function's input?
output
If you vertically compress the absolute value parent function f(x) x by a factor of 3 what is the equation of the new function?
f(x) = |f(x)|/3
Is an exponential function is the inverse of 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.
What is the difference between power functions and exponential functions?
Power functions are functions of the form f(x) = ax^n, where a and n are constants and n is a real number. Exponential functions are functions of the form f(x) = a^x, where a is a constant and x is a real number. The key difference is that in power functions, the variable x is raised to a constant exponent, while in exponential functions, a constant base is raised to the variable x. Additionally, exponential functions grow at a faster rate compared to power functions as x increases.
If you vertically shift the linear parent function F(x) x up 2 units then horizontally compress it by multiplying by 7 what is the equation of the new function G(x)?
14
What the difference between an exponential equation and a power equation?
y = ax, where a is some constant, is an exponential function in x y = xa, where a is some constant, is a power function in x If a > 1 then the exponential will be greater than the power for x > a
Is y equals 102x exponential?
No, the equation y = 102x is not exponential. An exponential function is of the form y = a * b^x, where a and b are constants. In this case, the equation y = 102x is a linear function, as it represents a straight line with a slope of 102 and no exponential growth or decay.
How do we differentiate between a quadratic equation and an exponential equation?
a quadratic equation must be in this form ax^2+bx+c=0 (can either be + or -) an exponential just means that the function grows at an exponential rate f(x)=x^2 or x^3
How does a monotonic transformation affect the shape of a function's graph?
A monotonic transformation does not change the overall shape of a function's graph, but it can stretch or compress the graph horizontally or vertically.
A function takes the exponential function's output and returns the exponential function's input?
A __________ function takes the exponential function's output and returns the exponential function's input.
How do you know if an equation is exponential?
Basically, in an exponential expression (or equation) you have the independent variable in the exponent. For example: 5 times 10x The general form of an exponential function can be written as: abx or: aekx where a, b, and k are constants, and e is approximately 2.718. Note that just having a power doesn't mean you have an exponential equation. For example, in x3 the variable does NOT appear in the exponent, so it is not an exponential expression.
What is the purpose of semi logarithm?
The y-axis on a semi logarithmic chart is exponential. This way, when an exponential function is depicted in the chart, it will evolve as a linear function. You often do this to proove that the function is exponential and/or as a tool to help you find the equation for the function. For more see: http://www.answers.com/topic/semi-logarithmic-plot
What is the parent function for the exponential function?
The parent function of the exponential function is ax
Is the inverse of an exponential function the quadratic function?
No. The inverse of an exponential function is a logarithmic function.
How can you tell from looking at an elation if the equation represents experiential growth or decay?
To determine if an equation represents exponential growth or decay, look at the base of the exponential function. If the base is greater than 1 (e.g., (y = a \cdot b^x) with (b > 1)), the function represents exponential growth. Conversely, if the base is between 0 and 1 (e.g., (y = a \cdot b^x) with (0 < b < 1)), the function indicates exponential decay. Additionally, the sign of the exponent can also provide insight into the behavior of the function.
A logarithmic function takes the exponential function's and returns the exponential function's input?
output
