MATH 20 Santa Monica College Slope Intercept Form Quiz Answers 2

hello I’m back ahahaah! I have a homework/quiz to turn in today at midnight pst

# 34
Math 20 Quiz 2
(Write your number in the box above.)
Due: Wednesday, 7-1-2020
Name Denyn Reynolds
(1) Determine whether each of the following defines y as a function of x, (Yes? No?) If NO, briefly
explain why not.
(a) u represents the weight of the 1st class letter, and y is its postage.
(18) yes
(b) 50 students took an exam. x represents student ID, and y represents his/her exam scores.
(1b) yes
For The same test scores x, we may have different (1c)_no
Y
(c) 50 students took an exam. x represents exam scores, and y represents the ID of the student who
got the corresponding scores.
the
no
students ID y
(d) A set of ordered pairs: {(1,1), (-1,1), (2,2), (-2,2), (2,3), (-3,3) }; x is the 1st value,
and is the 2nd value in each pair.
in the set, we have pairs (212) and (2,3), that is for (1d) no
same x value, we have different y value.
(e) A set of ordered pairs: { (3,4), (4,5), (-3, -2), (-2, -1), (2,3), (-3, -4) }; x is
the 1st value, and y is the 2nd value in each pair.
in the set we have pairs (-3,-2) and (-3,-4), that is (16) no
for same x value -3, we have different
Y y
values.
(2) For the following relations, find its domain, range, and determine whether it is a function,
if not, why?
(a) (given by a set of 5 ordered pairs:) {(1,0), (2, -1), (3,0), (4, -1), (5,0) }
Its domain is: { 1,2,3,4,5 }
Its range is: {0,-
}
Is it a function? (if not, why?) yes
ente
qoro
(b) (given by a line segment:)
6
5
Its domain is: [-3,5)
Its range is: [-1,5)
4
3
IN
х
-3-1 0 1 2 3 4 5 6
1
+2
+3
(Use either interval notation or set-builder notation to experss the
domain and range.)
+4
+5
Is it a function? (if not, why?) yes
+6
(c) (given by a table:)
T
-3
– 4
0
-2
– 4
y
5
7
2
5
9
Its domain is: { -3,-4.0)-2,-4 } 1
Its range is: { 5.7,2,5,6
Is it a function? (if not, why?) no
vertical line cuts graph more thom one time. Also, fora
giren value of calmain), we got two different values of (range)
(3) Let f(x) = 5 – 3x and g(x) = 2×2 +1, Find: for example at X=-4, we get y = 7,4
(a) f(-2) = 1 -3X(-2)=57611
(3a) F(-2) – 1
(b) g(-2) = 241-27?H #9
(3b) g(-2):9
(0) (3 – 9) (-4) = 4-3-1-4) – 281-4)2 (8-9)5.382 (30ff-g)(-4)= -16
UT
f -4- 3x f-)
– 4412 – 2x 16
= 4-3X – 2x
16=32
– 116
(d) (fºg)(3) – 4-313)-213)2
(3d) (Fig)(3) –23
– 4-9-18
=-23
(e) f(g(-5)) = 5-3(2x(-5)+1)
(3e) flge-5)) –148
-5-3(51) abr
bugs con
-5-153
(f) f(2a + 1) + g(2a + 1)
(3€) f(2911) Eglan) =80*+za+5
f(294) = 5-362a+ 1) = 5-6a-3 g(2011)-89+278971
f(2a+ 1) = 2-69
38a2+8 at3
= 2.(492+1+49)+1
=> float tgl 29t1) -8a²+2ats
+2975
(4) Graph the following functions in the rectangular system, and write the corresponding letter beside each graph.
=-148
4 2 •
g (2011)= 2 (2971)²+1
2
(c) f(x) = x | -2 > 1X1-2 = (y+2) -\x)
х
(a) f(x) = –2x + 5
)
(b) f(x) = 3
y = 3
↑
不
f(x)
axry=5
ty
6
:
= 1
talle
2.5
5
lit
fa)
$
B
1
0
4
51
19
-6-5-4-3-
х
1
(c)
3
4
-5
-6
(5) Answer the following questions according to the given graph of y = f(x),:
X=-3 y = -2
(a) What is the domain? (5a) [-1,6]
(b) What is the range? (5b) [-2,6]
VI y = 2 f(x)
(c) f(-3) =?
(50)-2
3
(d) f(1) =?
(50) 2
2
–
0
1
2
3
-1
-2
(e) for what values of x does f(x) = 1?
fx
(5e) – 4.50,3.25
X-f1)
(You can estimate the x value by 0.5, 1.5, …)
-3
(f) determine x-intercepts. (5f) – 4,-1,4
(-4,0); H10); (4,0)
fol=1
(g) determine y-intercept. (58)_01
(6) A linear equation 3x – 2y = 6 is given, answer the following questions about this equation:
(a) How many solutions does it have?
(62) Infinitely many
if(y=0) (X,Y)= (20)
dacotta
(b) Fill in the missing x (or y) value so that each pair becomes a solution.
(i) (-2, 6), (ii) (4,3), (iii) (1, -3/2), (iv) (-2,-6),
(c) What is its x-intercept?
(66) 112,0
(d) What is its y-intercept? If(=0) (x,y) = (0,3)
(6)_(0,-3)
(e) Rewrite the equation into its Slope-intercept form
(6)_4 -ŹX-3
3x-2y = 6 – 2y = 3×6 = 3 x – 3
(f) What is the slope of the line of this equation?
(61) _M – Ž
(g) Graph this equation in the following
1 gold
rectangular system.
US!
YA
w
3x-2y=6
6
5
4
7
31
2
1
6-5-4-3-2-11 0
3
4
51
6
X
– 1
4
5
6
Xry +5-2=0
[x+y 13 =0
( m ) = -1
y=x-7
(س)
X
I b (1)
(7) Line li is passing through two points (2, -5) and (-3,0), and Line l2 is the graph of the equaion
x – y = 7. Are they parallel to each other? perpendicular to each other? or neither? Show necessary work.
y-y, = 42-4, (X-XI)
7) perpendicular
X2-X,
х
y (-5)=0+5 (x-2)
X-Y = 1 1 1 mg)=1
-3-2
mixm₂ = -X1
4 15:5 (x-2)
m, x m2 = -1
y t5=-xta
(8) Line li is the graph of 3x + y = 1, and Line l2 is passing through (-6, 1) and perpendicular to li.
Write the equation of l2 in the Slope-intercept form. Show necessary work.
Slope of 1,= -3
(8)_91 = 3x+3.
slope of 12 = -1
. –
–
-3 3
y = mx, to
1-31-6)+
y = 75x, to
-270 Istowwo-8 do
C-3
(-611)
Ji berasal
(9) Write the equation of the line that passes through (-2, 1) and (-3, 4) in its (a) Slope-Intercept
form, and (b) its standard form, show working
TO
y=mxto
(9a) 0 = -2x -5
m=4-1
= 3–3
1919
-3-1-2) –
(95) 3x +y =-5
igorier
1 =-31-2)+c
Mb
y=-387C
1 – O Corcode )
(=-5
gorpo ed in galegos
1-211)
(10) Write the equation of the following line in its (a) Slope-Intercept form, and (b) its standard form,
show work.
3
2
10,-1) (212)
y=mx+6
m-2-1-1) =
2-0
y = 3x +6
10,-1)
-1- 3 xoto
(=.-|
(10a)_Y =ŽX-1
(101)_3x-y=
* (2, 2)
• (0, -1)
Math20 Quiz 2,
40 points.