Warm Ups: 1-Linear Functions
NAME_________________________________ PD___
WHERE AM I GOING?
When is a relation a function?
How are domain and range determined given equations, sets of ordered pairs, and graphs?
How do translations, reflections, stretches, and shrinks of a parent function affect the
general form y = f(x)?
WHERE AM I NOW?
1.1:
Identify the function family to which g belongs. Compare the graph of g to
its parent function and describe the transformations.
1) g(x) = -x + 2
2) g(x) = x2 – 2
5)
3) g(x) = 2|x| - 2
g(x)= -3
4) g(x) = 2.2(x + 2)2
1.1-2
1) S = {(-5,4),(2,-5),(4,6), (4, 8)}
a) State domain
b) State range
c) Is the relation a function?
d) Why/why not?
2) State domain & range of the function:
3) Is this relation a function?
4) What is the range of each function? If the range is not the same for each
function, explain why.
A) y = x
B) y = |x|
M. Murray
1.1-2
1) Find f(-3) for f(x) = -x - 7
2) Find f(½) for f(d) = 1 – 4d
1
3) f(x) = 2x + 5, g(x) = − 3 𝑥𝑥 + 2 find f(1) + g(3)
4a) What is the domain of this linear function? y = 5x
4b) Suppose y = 5x is a model of the distance of a car that travels 5 mi/h. How
would you interpret the domain?
1.2
Let f(x) = |x + 10| - 20
1) Write a function g whose graph is a translation 15 units down of the graph of
f.
2) Write a function h whose graph is a reflection in the y-axis of the graph of f.
3) Write a function m whose graph is a translation 12 units to the right of the
graph of f.
1.2-2
Let f(x) = |x + 10| - 20
1) Write a function p whose graph is a horizontal shrink of the graph of f by a
1
factor of
2
2) Write a function q whose graph is a vertical stretch of the graph of f by a
factor of 4
Let the graph of t be a reflection in the y-axis followed by a translation 2
units left of the graph of f(x) = x. Write a rule for t.
M. Murray