IDNLearn.com offers expert insights and community wisdom to answer your queries. Discover detailed answers to your questions with our extensive database of expert knowledge.

K
For each of the functions y = f(x) described below, find f(0).
(a) x
-1
1 2
f(x)
1
2
(b) y = 12 - 2x2
(c)
-10 -
0
7

8
10
IN 2 1
-
3
3
-6
6 8 10

(a) f(0) = ㅁ


Sagot :

The values of f(0) that can be read from (a similar question in part (a) and (c)) the table, functions, and graph in the question are;

(a) f(0) = 1

(b) f(0) = 12

(c) f(0) = -2

How can the table, function, and graph be evaluated to find f(0)?

Part of the question appears missing. From a similar question online, we have;

(a) A table of values;

x: -1, 0, 1, 2, 3

y: 7, 1, 6, -3, -4

Taking the function, f(x) = y, we have;

From the above values in the table, when x = 0, y = f(0) = 1

Therefore;

  • f(0) = 1

(b) y = 12 - 2•x²

Taking the function, f(x) = y, we have;

At x = 0, y = f(0) = 12 - 2 × 0² = 12

Therefore;

  • f(0) = 12

(c) A graph of a parabola passing through the points (-1, 3), (2, -6), (5, 3)

Let f(x) = a•x² + b•x + c, represent the function, we have;

f(-1) = 3 = a•(-1)² + b•(-1) + c = a - b + c

  • 3 = a - b + c...(1)

f(2) = -6 = a•(2)² + b•(2) + c = 4•a + 2•b + c

  • -6 = 4•a + 2•b + c...(2)

f(5) = 3 = a•(5)² + b•(5) + c = 25•a + 5•b + c

  • 3 = 25•a + 5•b + c...(3)

Solving the system of linear equations, (1), (2), (3) using a graphing calculator gives;

a = 1, b = -4, c = -2

Which gives;

f(x) = x² - 4•x - 2

Therefore;

f(0) = 0² + 4×0 - 2 = -2

Which gives;

  • f(0) = -2

Learn more about evaluation of functions here:

https://brainly.com/question/27916162

#SPJ1

We appreciate every question and answer you provide. Keep engaging and finding the best solutions. This community is the perfect place to learn and grow together. Accurate answers are just a click away at IDNLearn.com. Thanks for stopping by, and come back for more reliable solutions.