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Math 3—College Algebra
Homework 2.5—2.8
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2.5 Linear Functions and Models
Q1—Q3. Determine whether the given function is linear. If the function is linear, express the
function in the form 𝑓(𝑥) = 𝑎𝑥 + 𝑏
Q1. 𝑓(𝑥) = 𝑥(4 − 𝑥)
Q2. 𝑓(𝑥) =
𝑥+1
5
Q3. 𝑓(𝑥) = (𝑥 + 1)2
Q4—Q5. For the given linear function, make a table of values and sketch its graph. What is the
slope of the graph?
Q4. 𝑓(𝑥) = 2𝑥 − 5
2
Q5. 𝑟(𝑡) = − 𝑡 + 2
3
Q6—Q7. A linear function is given. A) sketch the graph
the rate of change of the function.
b) Find the slope of the graph. C) Find
Q6. 𝑓(𝑥) = 2𝑥 − 6
Q7. 𝑣(𝑡) = −
10
3
𝑡 − 20
...