Answered

Find the best solutions to your questions at Westonci.ca, the premier Q&A platform with a community of knowledgeable experts. Join our platform to connect with experts ready to provide precise answers to your questions in different areas. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.

Given the function [tex]f[/tex] defined by the formula [tex]f(x) = x^2 - 4[/tex], find the following:

(a) [tex]f(3)[/tex]

(b) [tex]f(-4)[/tex]

(c) [tex]f(0)[/tex]

(d) [tex]f(-2)[/tex]

Sagot :

GinnyAnswer
Sure! Let's evaluate the function [tex]\( f(x) = x^2 - 4 \)[/tex] at the given points step-by-step.

(a) To find [tex]\( f(3) \)[/tex]:

1. Substitute [tex]\( x = 3 \)[/tex] into the function [tex]\( f(x) \)[/tex].
2. [tex]\( f(3) = 3^2 - 4 \)[/tex]
3. Calculate the square: [tex]\( 3^2 = 9 \)[/tex]
4. Subtract 4 from 9: [tex]\( 9 - 4 = 5 \)[/tex]

Thus, [tex]\( f(3) = 5 \)[/tex].

(b) To find [tex]\( f(-4) \)[/tex]:

1. Substitute [tex]\( x = -4 \)[/tex] into the function [tex]\( f(x) \)[/tex].
2. [tex]\( f(-4) = (-4)^2 - 4 \)[/tex]
3. Calculate the square: [tex]\( (-4)^2 = 16 \)[/tex]
4. Subtract 4 from 16: [tex]\( 16 - 4 = 12 \)[/tex]

Thus, [tex]\( f(-4) = 12 \)[/tex].

(c) To find [tex]\( f(0) \)[/tex]:

1. Substitute [tex]\( x = 0 \)[/tex] into the function [tex]\( f(x) \)[/tex].
2. [tex]\( f(0) = 0^2 - 4 \)[/tex]
3. Calculate the square: [tex]\( 0^2 = 0 \)[/tex]
4. Subtract 4 from 0: [tex]\( 0 - 4 = -4 \)[/tex]

Thus, [tex]\( f(0) = -4 \)[/tex].

(d) To find [tex]\( f(-2) \)[/tex]:

1. Substitute [tex]\( x = -2 \)[/tex] into the function [tex]\( f(x) \)[/tex].
2. [tex]\( f(-2) = (-2)^2 - 4 \)[/tex]
3. Calculate the square: [tex]\( (-2)^2 = 4 \)[/tex]
4. Subtract 4 from 4: [tex]\( 4 - 4 = 0 \)[/tex]

Thus, [tex]\( f(-2) = 0 \)[/tex].

Summarizing the results:
- [tex]\( f(3) = 5 \)[/tex]
- [tex]\( f(-4) = 12 \)[/tex]
- [tex]\( f(0) = -4 \)[/tex]
- [tex]\( f(-2) = 0 \)[/tex]
We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Westonci.ca is your go-to source for reliable answers. Return soon for more expert insights.