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Function Calculator: This best handy calculator generates the output as x-intercept, y-intercept, slope, curvature, derivative of the function. Students can get the step by step procedure on how to solve the functions in the following sections. Have a look at them and follow whenever required. You can obtain the result along with the detailed work so that you can learn and understand the concept.
Here is the simple method to solve the functions. Go through these steps and understand them to compute the function easily. Using these steps, you can find the slope, x-intercept, y-intercept, and derivative values of a function effortlessly.
Question: Find the x-intercept, y-intercept, slope, derivative and curvature of the function f(x) = 3x - 10?
Given Function is
f(x) = 3x - 10 = y
Set y = 0,
0 = 3x - 10
3x = 10
x = 10/3
(10/3, 0) is x-intercept.
Set x = 0,
y = 3(0) - 10
y = -10
(0, -10) is y-intercept.
Convert the given function into y = mx + c form
y = 3x - 10
m = 3, c = -10
Slope is 3.
Curvature is 0.
Derivative of the function is
dy/dx = d/dx(3x - 10)
= d/dx(3x) - d/dx(10)
x intercept is 10/3, y intercept is -10, slope is 3, curvature is 0, derivative is 3.
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1. What are the functions?
Functions are defined as the equation where it gives one output for every input. Function is a mathematical rule that defines the relationship between dependent and independent variables.
2. How can you represent functions?
The standard form to represent the functions are f (x) = y.
Where, x is the input
y is the output of the desired function'F represents the function.
3. What is the difference between relation and function?
Relation means collection of inputs and outputs which are related to each other in some way. If each input of the relation having exactly one output, then that relation is called a function.
4. What is the domain and co domain of a function?
Domain of a function is the set of inputs for which the function is defined. A co domain is the set of possible output values of the function.
5. What are the different types of functions?
The different types of functions are Linear function, Quadratic function, Exponential function, Power function, Polynomial function, Logarithmic function, and so on.