Sure! Let’s solve each problem step by step. The task is to
evaluate each function at the given input value. That means we substitute the given number into the function in place of the variable and simplify.
---
1) \( f(x) = 4x - 7 \), Find: \( f(5) \)
Substitute \( x = 5 \):
\[
f(5) = 4(5) - 7 = 20 - 7 = 13
\]
✔ Answer: 13
---
2) \( y(x) = 3x^2 + 2x + 1 \), Find: \( y(2) \)
Substitute \( x = 2 \):
\[
y(2) = 3(2)^2 + 2(2) + 1 = 3(4) + 4 + 1 = 12 + 4 + 1 = 17
\]
✔ Answer: 17
---
3) \( g(t) = 2t - 4 \), Find: \( g(3) \)
Substitute \( t = 3 \):
\[
g(3) = 2(3) - 4 = 6 - 4 = 2
\]
✔ Answer: 2
---
4) \( h(u) = u^2 - 5 \), Find: \( h(2) \)
Substitute \( u = 2 \):
\[
h(2) = (2)^2 - 5 = 4 - 5 = -1
\]
✔ Answer: -1
---
5) \( f(x) = 10x + 5 \), Find: \( f(-1) \)
Substitute \( x = -1 \):
\[
f(-1) = 10(-1) + 5 = -10 + 5 = -5
\]
✔ Answer: -5
---
6) \( y(x) = x^3 - 5x \), Find: \( y(3) \)
Substitute \( x = 3 \):
\[
y(3) = (3)^3 - 5(3) = 27 - 15 = 12
\]
✔ Answer: 12
---
7) \( g(t) = 4t^2 - 4t \), Find: \( g(1) \)
Substitute \( t = 1 \):
\[
g(1) = 4(1)^2 - 4(1) = 4 - 4 = 0
\]
✔ Answer: 0
---
8) \( h(x) = 5(x - 3) \), Find: \( h(2) \)
Substitute \( x = 2 \):
\[
h(2) = 5(2 - 3) = 5(-1) = -5
\]
✔ Answer: -5
---
9) \( y(x) = 2x^2 + 2x + 1 \), Find: \( y(1) \)
Substitute \( x = 1 \):
\[
y(1) = 2(1)^2 + 2(1) + 1 = 2 + 2 + 1 = 5
\]
✔ Answer: 5
---
10) \( f(x) = 4x - 6 \), Find: \( f(10) \)
Substitute \( x = 10 \):
\[
f(10) = 4(10) - 6 = 40 - 6 = 34
\]
✔ Answer: 34
---
11) \( h(z) = z^3 \), Find: \( h(-2) \)
Substitute \( z = -2 \):
\[
h(-2) = (-2)^3 = -8
\]
✔ Answer: -8
---
12) \( m(u) = 10u - u^2 \), Find: \( m(2) \)
Substitute \( u = 2 \):
\[
m(2) = 10(2) - (2)^2 = 20 - 4 = 16
\]
✔ Answer: 16
---
13) \( f(x) = 10x - 9 \), Find: \( f(4) \)
Substitute \( x = 4 \):
\[
f(4) = 10(4) - 9 = 40 - 9 = 31
\]
✔ Answer: 31
---
14) \( h(x) = 4x^2 - 5x + 1 \), Find: \( h(2) \)
Substitute \( x = 2 \):
\[
h(2) = 4(2)^2 - 5(2) + 1 = 4(4) - 10 + 1 = 16 - 10 + 1 = 7
\]
✔ Answer: 7
---
##
✔ Final Answers Summary:
1) 13
2) 17
3) 2
4) -1
5) -5
6) 12
7) 0
8) -5
9) 5
10) 34
11) -8
12) 16
13) 31
14) 7
Let me know if you’d like a printable version or explanations for specific steps!
Parent Tip: Review the logic above to help your child master the concept of basic function worksheet.
