Sure! Let’s go through each part of the worksheet step by step.
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##
A) Evaluate each function at the specified value.
1) \( f(x) = -3x + 8 \); \( x = 3 \)
Substitute \( x = 3 \):
\[
f(3) = -3(3) + 8 = -9 + 8 = -1
\]
✔ Answer: -1
---
2) \( f(x) = -5(6 + x) \); \( x = -9 \)
First, substitute \( x = -9 \):
\[
f(-9) = -5(6 + (-9)) = -5(-3) = 15
\]
✔ Answer: 15
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3) \( f(x) = 9 - 7x \); \( x = -1 \)
Substitute \( x = -1 \):
\[
f(-1) = 9 - 7(-1) = 9 + 7 = 16
\]
✔ Answer: 16
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4) \( f(x) = 2x + 13 \); \( x = 0 \)
Substitute \( x = 0 \):
\[
f(0) = 2(0) + 13 = 0 + 13 = 13
\]
✔ Answer: 13
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##
B) Evaluate each function.
1) If \( f(x) = -(x + 13) \), what is \( f(4) \)?
Substitute \( x = 4 \):
\[
f(4) = -(4 + 13) = -17
\]
✔ Answer: -17
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2) If \( f(x) = -12 - 3x \), what is \( f(-11) \)?
Substitute \( x = -11 \):
\[
f(-11) = -12 - 3(-11) = -12 + 33 = 21
\]
✔ Answer: 21
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3) If \( f(x) = -4x \), what is \( f(-6) \)?
Substitute \( x = -6 \):
\[
f(-6) = -4(-6) = 24
\]
✔ Answer: 24
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4) If \( f(x) = -2x - 8 \), what is \( f(2) \)?
Substitute \( x = 2 \):
\[
f(2) = -2(2) - 8 = -4 - 8 = -12
\]
✔ Answer: -12
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##
C) What is the value of \( f(5) \) if \( f(x) = -9(x + 3) + 15 \)?
We are given:
\[
f(x) = -9(x + 3) + 15
\]
Substitute \( x = 5 \):
\[
f(5) = -9(5 + 3) + 15 = -9(8) + 15 = -72 + 15 = -57
\]
✔ Answer: ii) -57
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##
✔ Final Answers Summary:
A)
1)
-1
2)
15
3)
16
4)
13
B)
1)
-17
2)
21
3)
24
4)
-12
C)
ii) -57
Let me know if you’d like to see a graph or further explanation for any of these!
Parent Tip: Review the logic above to help your child master the concept of functions worksheet.
