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

Mathematics

1 answer:

Vesna [10]3 years ago

7 0

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

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