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Function Calculator
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The relation between input and output is defined by Function, if the input of the function changes, then its resultant has also changed. Function Calculator is a input output calculator that will help us to graph a function. It is a linear function calculator if the input is a quadratic function, then it calculates the x-intercept, y-intercept and vertex. If the input is linear function, then it calculates the x-intercept, y-intercept and slope. It called as function tables input output calculator.

Below is given a default function, click "Graph". It calculates x-intercept, y-intercept, slope and then plot the graph.
 

Steps for Function Calculator

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Step 1 :  

Observe the given linear function.



Step 2 :  

Plug in different values for x and find the value for y and then list all the coordinates and plot it on graph. 



Problems on Function Calculator

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  1. Plot the graph for the function: f(x) = 2x + 1


    Step 1 :  

    Given function: f(x) = y = 2x + 1



    Step 2 :  

    if x = 0, then


    y = 2(0) + 1 = 1


    y = 1


     


    if x = 1, then


    y = 2(1) + 1 = 3


    y = 3


     


    if x = 2, then


    y = 2(2) + 1 = 5


    y = 5


     


    if x = -1, then


    y = 2(-1) + 1 = -1


    y = -1


    So, the coordinates are (0, 1), (1, 3), (2, 5) and (-1, -1)



    Answer  :  

    Function Calculator Example



  2. Plot the graph for the function: f(x) = x + 12


    Step 1 :  

    Given function: f(x) = y = x + 12



    Step 2 :  

    if x = -10, then


    y = -10 + 12 = 2


    y = 2


     


    if x = 10, the


    y = 10 + 12 = 22


    y = 22


     


    if x = 20, then


    y = 20 + 12 = 32


    y = 32


     


    if x = 30, then


    y = 30 + 12 = 42


    y = 42


    So, the coordinates are (-10, 2) (10, 22), (20, 32) and (30, 42)



    Answer  :  

    Function Calculator Examples



  3. An engineer of a manufacturing company has designed a model in the shape of a right triangle. The smaller side of a triangle is equal to $\frac{3} {5} $ of its largest side. Also the length of the second largest side of a triangle is 8 cm. What is the sum of the smallest and the largest sides of the model together. Also plot graph for the function.


    Step 1 :  

    Given model in the shape of a right triangle. And the relation between the sides of a triangle is given below:


    (Hypotenuse)$^2 $ = (Base) $^2 $ + (Altitute) $^2 $



    Step 2 :  

    Let 8 cm be the altitude of the triangle, then


    H$^2 $ = B$^2$ + 8$^2 $ ….. (1)


    (where H and B represent Hypotenuse and base of the triangle respectively)


    Or H = $\sqrt{B^2+64} $  (Which is required function)


    Put B = 1 and -1 then H = 8.06 (approx)


    Put B = 2 and -2 then H = 8.24 (approx)


    Put B = 3 and -3 then H = 8.25 (approx)


    Put B = 6 and -6 then H = 10


    Since smaller side = $\frac{3} {5} $ (largest side)


    Values B = 6 and H = 10 completely satisfy equation (1). The sides of the model are 6, 8 and 10.


    Sum of smallest and largest sides = 6 + 10 = 16.


     


    function graph problem



    Answer  :  

    Sum of smallest and largest sides = 16 cms.



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