practice quiz for sections 1-1 to 1-2

1. Summer vacation is
over…
PRACTICE QUIZ
1-1 & 1-2

2. 2) What is the domain and range for each?
5
9
)
( 

 x
x
f  
)
9
,
5
(
),
2
,
1
(
),
2
,
0
(
),
3
,
1
(
)
( 




x
f
Equations are
“continuous”
Coordinates are
“discrete”
1) Which example below is discrete, and
which is continuous?
Linear equations are infinite,
so domain & range are both
(-∞, +∞)
D= { -1, 0, 5 }
R = { -9, -3, 2 }
3) Why is the example on
the right NOT considered
to be a function?
There is a
duplicate
coordinate in
the domain!

3. 4) Which of the following graphs pass the
vertical line test? (and is therefore a function)
Nowhere does it hit it
more than once! So,
YES, it’s a function!
Oops, hits it twice.
NOT a function!
Here’s the only spot in
question, but the open
circle means…no, it
does not hit it twice.
So, YES, it is a
function!

4. Use the function: f(x) = 3x3 – 2x + 8 to find…
5) f(5) 6) f(-2) 7) f(2n)
f(5) = 3(5)3 – 2(5) + 8
= 3(125) – 10 + 8
= 375 – 10 + 8
= 373
f(5) = 373
f(5) = 3(-2)3 – 2(-2) + 8
= 3(-8) + 4 + 8
= -24 + 4 + 8
= -12
f(-2) = -12
f(5) = 3(2n)3 – 2(2n) + 8
= 3(8n3) – 4n + 8
= 24n3 – 4n + 8
f(2n) = 24n3 – 4n + 8

5. 8) Change to “standard form” (Ax + By = C)
y
x 3
7
2 
 Don’t want
the “x”-term
to be
negative, so…
x
y 7
3
2 

Is that the
best order?
Well, no…
2
3
7 
 y
x
But that is!

6. 9) Change to standard form:
2
5
2
10
3 y
x


I) common denominators ---->
10
5
10
4
10
3 y
x


II) lose the denominators ----> y
x 5
4
3 

III) move the 4 and 5y ----> 3𝑥 − 5𝑦 = −4

7. 10) Find the x & y-intercepts for: y
x 5
10
3 

x-int
3x – 10 = 5(0)
3x – 10 = 0
3x = 10
x = 10/3
y-int
3(0) – 10 = 5y
-10 = 5y
-2 = y
Or, the cover-up
method (same thing)

8. 11) Find me some linear equations
11
2


x
y
11
2


x
y
11
2

 y
x
11
2 
 x
y
11
2 
 x
y
11
6
5

 y
x
11

x

9. Good luck
on your
first Algebra
2 quiz!