Answer:
f(-2) = 13
f(6) = 19
f(-13) = 52
f(-14) = 56
Step-by-step explanation:
Hi! This question topic is functions. Let me break it down to you.
f(x) = |5 - 4x| is the same as y = |5-4x| I think you may be familiar with y = mx + b equations.
f(x) is trying to say that you should replace x with the number in f(_) in the equation. You'll get it when we start solving
Question 1 : f(-2)
We replace -2 in the equation
f(-2) = |5 - 4(-2)|
f(-2) = |5 +8| => Remember, negative x negative = positive
f(-3) = 13 => Absolute Value, positive stays positive, negative turns positive
Question 2 : f(6)
We replace 6 in the equation
f(6) = |5 - 4(6)|
f(6) = |5 - 24|
f(6) = |-19| => Turns poitive!
f(6) = 19
Question 3 : f(-13)
We replace -13 in the equation
f(-13) = |5 - 4(-13)|
f(-13) = |5 +52|
f(-13) = |57|
f9-13) = 57
Question 4 : f(-14)
We replace -14 in the equation
f(-14) = |5 - 4(-14)|
f(-14) = |5 + 56|
f(-14) = |61|
f(-14) = 61
-Chetan K
