Question

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!

Answer 1

C. 4

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