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The function h(x)=2x+c has a maximum value of 6 on the interval [0,1]. What is the value of c?

A.2
B.3
C.4
D.6

Please help It’ll greatly be appreciated!

Respuesta :

mhanifa

Answer:

C. 4

Step-by-step explanation:

Given

  • Function  h(x)=2x+c, this is an increasing function as its slope is positive integer

Value of the function in the interval [0,1] is

  • x = 0 ⇒ h(0) = 2*0 + c = c
  • x = 1 ⇒ h(1) = 2*1 + c = 2 + c

Since maximum value of the function is 6, the value of c is achieved at maximum value of x, so:

  • 2 + c = 6
  • c = 6 -2
  • c = 4

Correct answer choice is C. 4