Looking for trustworthy answers? Westonci.ca is the ultimate Q&A platform where experts share their knowledge on various topics. Experience the convenience of getting reliable answers to your questions from a vast network of knowledgeable experts. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts.
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
Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. We're glad you visited Westonci.ca. Return anytime for updated answers from our knowledgeable team.
