What are 3 completed examples for functions?
1 answer:
Example 1
Write y = x2 + 4x + 1 using function notation and evaluate the function at x = 3.
Solution
Given, y = x2 + 4x + 1
By applying function notation, we get
f(x) = x2 + 4x + 1
Evaluation:
Substitute x with 3
f (3) = 32 + 4 × 3 + 1 = 9 + 12 + 1 = 22
Example 2
Evaluate the function f(x) = 3(2x+1) when x = 4.
Solution
Plug x = 4 in the function f(x).
f (4) = 3[2(4) + 1]
f (4) = 3[8 + 1]
f (4) = 3 x 9
f (4) = 27
Example 3
Write the function y = 2x2 + 4x – 3 in function notation and find f (2a + 3).
Solution
y = 2x2 + 4x – 3 ⟹ f (x) = 2x2 + 4x – 3
Substitute x with (2a + 3).
f (2a + 3) = 2(2a + 3)2 + 4(2a + 3) – 3
= 2(4a2 + 12a + 9) + 8a + 12 – 3
= 8a2 + 24a + 18 + 8a + 12 – 3
= 8a2 + 32a + 27
You might be interested in
Answer:
Option d is the correct answer.
Step-by-step explanation:
tan A = 24/7
Answer:
y = -17/2
Step-by-step explanation:
Substitute with the givens.
30= 8(8) + 4y.
Multiply parentheses.
30 = 64 + 4y
Subtract.
30-64= -34
-34 = 4y.
Divide each side by 4.
y = - 8.5, or -17/2
hope that is right!
Answer:
I don't know what you are looking for, but I am going with (15x^3 - 4x)/3
Step-by-step explanation:
5x^3 - 4x/3
5x^3/1 - 4x/3
15x^3/3 - 4x/3
(15x^3 - 4x)/3
Answer:
10. 32 & 37
11. 3 & 4
(っ◔◡◔)っ ♥ Hope It Helps, Please Consider giving Brainliest ♥
(P.S. if you need an explanation just ask in comments)
Answer:
15.00w < 129.99
hope it helps