Write a nested function that evaluates a polynomial of the form y = ax + bx+c....
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Write a nested function that evaluates a polynomial of the form y = ax² + bx+c. The host function gen_func should have three calling arguments a, b, and c to initialize the coefficients of the polynomial. It should also create and return a function handle for the nested function eval_func. The nested function eval_func (x) should calculate a value of y for a given value of x, using the values of a, b, and c stored in the host function. This is effectively a function generator, since each combination of a, b, and c values produces a function handle that evaluates a unique polynomial. Then perform the following steps: (a) Call gen_func (1, 2, 1) and save the resulting function handle in variable h1. This handle now evaluates the function y = x² + 2x + 1. (b) Call gen_func (1,4,3) and save the resulting function handle in variable h2. This handle now evaluates the function y = x² + 4x + 3. (c) Write a function that accepts a function handle and plots the specified function between two specified limits. (d) Use this function to plot the two polynomials generated in parts (a) and (b) above. Write a nested function that evaluates a polynomial of the form y = ax² + bx+c. The host function gen_func should have three calling arguments a, b, and c to initialize the coefficients of the polynomial. It should also create and return a function handle for the nested function eval_func. The nested function eval_func (x) should calculate a value of y for a given value of x, using the values of a, b, and c stored in the host function. This is effectively a function generator, since each combination of a, b, and c values produces a function handle that evaluates a unique polynomial. Then perform the following steps: (a) Call gen_func (1, 2, 1) and save the resulting function handle in variable h1. This handle now evaluates the function y = x² + 2x + 1. (b) Call gen_func (1,4,3) and save the resulting function handle in variable h2. This handle now evaluates the function y = x² + 4x + 3. (c) Write a function that accepts a function handle and plots the specified function between two specified limits. (d) Use this function to plot the two polynomials generated in parts (a) and (b) above.
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