Answer:
4) given the function f(x) = 8 - 3x, f(-3) = 1 is not true.
Step-by-step explanation:
1) given the function f(x) = 8 - 3x, f(2) = 2.
substitute f(2) = 2 in the given function,
⇒f(x) = 8 - 3x
⇒f(2) = 8 - 3(2)
⇒f(2) = 8 - 6
⇒f(2) = 2, TRUE.
2) given the function f(x) = 8 - 3x, f(-5) = 23.
⇒f(x) = 8 - 3x
⇒f(-5) = 8 -3(-5)
⇒f(-5) = 8 + 15
⇒f(-5) = 23, TRUE.
3) given the function f(x) = 8 - 3x, f(8) = -16.
⇒f(x) = 8 - 3x
⇒f(8) = 8 - 3(8)
⇒f(8) = 8 - 24
⇒f(8) = -16, TRUE.
4) given the function f(x) = 8 - 3x, f(-3) = 1.
⇒f(x) = 8 - 3x
⇒f(-3) = 8 - 3(-3)
⇒f(-3) = 8 + 9
⇒f(-3) = 17, FALSE.
It should be f(-3) = 17 according to the given function f(x) = 8 - 3x.
Therefore, 4th statement is not true.
