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Given the function f ( x ) = 4 x 2 − 5 x + 7 f ( x ) = 4 x 2 - 5 x + 7 . Calculate the following values: f ( − 2 ) = f ( - 2 ) = f ( − 1 ) = f ( - 1 ) = f ( 0 ) = f ( 0 ) = f ( 1 ) = f ( 1 ) = f ( 2 ) = f ( 2 ) =

Sagot :

Given the function f(x) = 4x² - 5x + 7, the output values of f(-2), f(-1), f(0), f(1) and f(2) are 33, 16, 7, 6 and 13 respectively.

What are the output values of the given numbers in the function?

Given the function is the question;

  • f(x) = 4x² - 5x + 7
  • f(-2) = ?
  • f(-1) = ?
  • f(0) = ?
  • f(1) = ?
  • f(2) = ?

To determine the output value of f(-2), replace all occurrence of x with -2 in the function and simplify.

f(x) = 4x² - 5 x + 7

f(-2) = 4(-2)² - 5(-2) + 7

f(-2) = 4×4 + 10 + 7

f(-2) = 16 + 10 + 7

f(-2) = 33

To determine the output value of f(-1), replace all occurrence of x with -1 in the function and simplify.

f(x) = 4x² - 5 x + 7

f(-1) = 4(-1)² - 5(-1) + 7

f(-1) = 4×1 + 5 + 7

f(-1) = 4 + 5 + 7

f(-1) = 16  

To determine the output value of f(0), replace all occurrence of x with 0 in the function and simplify.

f(x) = 4x² - 5 x + 7

f(0) = 4(0)² - 5(0) + 7

f(0) = 0 + 0 + 7

f(0) = 7  

To determine the output value of f(1), replace all occurrence of x with 1 in the function and simplify.

f(x) = 4x² - 5 x + 7

f(1) = 4(1)² - 5(1) + 7

f(1) = 4×1 - 5 + 7

f(1) = 4 - 5 + 7

f(1) = 6  

To determine the output value of f(2), replace all occurrence of x with 2 in the function and simplify.

f(x) = 4x² - 5 x + 7

f(2) = 4(2)² - 5(2) + 7

f(2) = 4×4 - 10 + 7

f(2) = 16 - 10 + 7

f(2) = 13

Given the function f(x) = 4x² - 5x + 7, the output values of f(-2), f(-1), f(0), f(1) and f(2) are 33, 16, 7, 6 and 13 respectively.

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