The function f: R→ R is defined by f(x) = begincases 12x+5, textif x 1 [2ex] x-4 , textif x le 1 endcases Which of the following is false?

Question

The function f: R→ R is defined by f(x) = begincases 12x+5, textif x > 1 [2ex] x-4 , textif x le 1 endcases Which of the following is false? (A) f(0)=-4 (B) f(-1/2)=-9/2 (C) f(3)=41 (D) f(-5)=9

Tardigrade Admin · Accepted Answer

f(0)=0-4=-4, f(-(1/2))=-(1/2)-4 =-(9/2), f(3)=12(3)+5=41, f(-5)=-5-4 =-9≠9.

Q. The function $f : R \to R$ is defined by
$f (x) = ⎩ ⎨ ⎧ 12 x + 5, x - 4, if x > 1 if x \leq 1$
Which of the following is false?

$f (0) = - 4$

$f (- 1/2) = - 9/2$

$f (3) = 41$

$f (- 5) = 9$

$f (0) = 0 - 4 = - 4$ ,
$f (- \frac{1}{2}) = - \frac{1}{2} - 4$
$= - \frac{9}{2}$ ,
$f (3) = 12 (3) + 5 = 41, f (- 5) = - 5 - 4$
$= - 9 \neq = 9$ .

Q. The function f:R→R is defined by f(x)=⎩⎨⎧​12x+5,x−4,​if x>1if x≤1​ Which of the following is false?

f(0)=−4

f(−1/2)=−9/2

f(3)=41

f(−5)=9