🧩 1. Parts of Function Notation 🧠
➕➖ Inputs & Outputs 📥📤
📈 Read the Graph 👀
✍️ Writing in Function Notation 📝
🧾 Tables, Rules, & Real Life 🐾
100
In the function f(x), identify the function name, the input, and the output ✏️
Function name: f
Input: x
Output: f(x) 🧠
100
Given g(x)=3x+2, find g(4) 🐶
14 ✅
100
What does the point where the graph is flat tell you about the boats?
The boats are not moving; its distance from the dock stays the same.
100
If R(t) measures rainfall, what does R(3) represent? 🌧️
The amount of rain after 3 hours ☔
100
A function r(w) gives the amount of rice left after w weeks. What does r(w) represent? 🍚
The kilograms of rice remaining after w weeks 📦
200
In g(4)=10, what is the input and what is the output? 🐾
Input: 4 | Output: 10 ✅
200
Given h(x)=−2x+10, find h(1) 🐴
8 ✔️
200
When are tehse two functions equal?
At 4.2
200
Write in function notation: “Six hours after it started raining, there were 37 millimeters of rain.”
R(6)=37 ✅
200
A restaurant starts with 75 kg of rice and uses 4.5 kg per week. Write a rule for r(w) ✍️
r(w)=75−4.5w ✅
300
In the rule h(x)=−2x+10, which part is the input and which part is the rule (output)? 🔍
Input: x | Rule: −2x+10 🧩
300
Given the constant function f(x)=3, find f(0) and f(10) 🐢
3 and 3 | The output never changes 📏
300
Name two inputs at which function 1 is bigger than function 2.
x=1.8-4.2 and x=7.2-12
300
Write in function notation: “The rain after 90 minutes was the same as after 120 minutes.” ⏱️
R(1.5)=R(2) ✔️
300
Using r(w)=75−4.5w, find r(6) and r(12) 🧮
r(6)=48 and r(12)=21 ✔️
400
A function w(m) gives the weight of a cat in kilograms when it is m months old. What do m and w(m) represent? 🐱⚖️
m is the cat’s age in months | w(m) is the cat’s weight in kilograms 🐾
400
Given g(x)=3x+2, solve g(x)=17 🧮🐱
x=5 ✅
400
When is function 1 increasing?
x=1-6
400
A function w(m) gives the weight of a cat. Which sentence matches w(7)=4? 🐱
The cat weighs 4 kilograms when it is 7 months old 🐾
400
What do the intercepts of the graph of r(w) represent? 📉
The starting amount of rice and when the rice runs out ⏳
500
A function d(t) gives the distance of a boat from the dock t seconds after leaving. Explain what d(30)=120 means 🚤
After 30 seconds, the boat is 120 meters from the dock 🌊
500
A function p(x)=1.5x+2 models the amount of fish a penguin eats. Solve p(x)=8 and explain what it means 🐧🐟
x=4 | After 4 days, the penguin eats 8 units of fish 🎣
500
Which functions declines more? Why?
Function A because it is lower on the graph when finishedl
500
Write an equation that shows a boat is 10 meters from the dock after 20 seconds 🚤
d(20)=10 📏
500
r(w)=k takes weeks and outputs remain rice. Take r(10)=30 and explain what it means 🍚
w=10 | After 10 weeks, 30 kilograms of rice remain ✅