UI Algebra Domain and Range of The Function Question

Select all of the following tables which represent y as a function of x.
х
2
y
y
2
у
-2
-1
-4
-2
-1
-4
0
عل | ب | ب | m
2
3
NON
2
4.
–00
3
6
000 –
– VON
7
8
9
2
16
15
14
15
14
The plot below represents the function f(x)
8+
7
6
5
4
3
2
1
-5 -4 -3 -2 -1
– 1
1 2 3 4 5
-2 +
Evaluate f(1)
f(1) =
=
Solve f(a) = 1
x=
7
1
y =
x
1
6
5
–
ข –
va
=
3
a.
2
m2
Y =
–
y = 22
-2
-1
2
3
4
6
–
–
y =
|
a
-2
7|
6
5
4
3
b.
N
1
-2
3
4
6
a
7
6
5
4
3
2
1
-2
– 1
–
1
2 3
4 5 6 7
a
-2
7
6
5
d.
N
-2
-1
4
5 6 7
7
6
5. 4
3
e.
2
}
2
4
1
a
-2 – 1
-1
-2+
d
+
7+
6
5
4
3
f.
2
1
-2 -1
–
-2
What is the domain of the following function: f(2) =
x + 5
X – 4
O x + 4
(4,00)
o [ – 5,00)
[ – 5,4) U (4, 0)
All real numbers
Find the domain and range of the function graphed below.
5
3
2
1
-5 -4
– 5
12 – 1
2
3
-2
-3
-4
-5+
Domain:
Range:
Given f(x) = x², after performing the following transformations: shift upward 98 units and shift 55
units to the right, the new function g(2)
=
Let
f(x) = 7x + 7
f-1(x) =
Describe the long run behavior of f(n) = – n? + n6 – 2n5 + 2
As n +
oo, f(n) +
?
As n +00, f(n)
-?
D
oo
> Next Question
-00
0
Write an equation (any form) for the quadratic graphed below
5
4
3
2
1
1
2
3
-5 -4 -3 -2 -1
-1
4 5
-2
-3
-4
-5+
a
y=
Consider the parabola given by the equation: f(x) = 2×2 – 6x – 7
Find the following for this parabola:
A) The vertex:
B) The vertical intercept is the point
C) Find the coordinates of the two x intercepts of the parabola and write them as a list, separated
by commas:
It is OK to round your value(s) to to two decimal places.
х
The polynomial of degree 5, P() has leading coefficient 1, has roots of multiplicity 2 at x = 4 and
0, and a root of multiplicity 1 at x = – 1
Find a possible formula for P(x).
P(x) =
For each function, determine the long run behavior
x2 +1
x2 + 2
has Select an answer
x2 + 1
23 + 2
has Select an answer
23 + 1
ha ✓ Select an answer
x2 + 2
No horizontal asymptote
a Horizontal asymptote at y=0
> Next Q
a Horizontal asymptote at y=1
Consider the function in the graph to the right.
The function has a relative maximum of
at x =
+10+
9
8
The function has a relative minimum of
7.
6
at x=
5-
37
The function is increasing on the interval(s):
2
1
6
7 8 9 10
-10 -9 -8 -7 -6 -5 4 13 -2 -1
– 1
-2
The function is decreasing on the interval(s):
-3
.
-5
-6
The domain of the function is:
-7
-8
-9
-10
The range of the function is:
If log2 (3.C + 5) = 2, then x =
Find the logarithm.
log10(10, 000)=
Evaluate the following expressions. Your answers must be exact and in simplest form.
(a) In e
– 7
=
(b) en 7
=
(c) en 3
=
(d) In
(3)
=
Solve for x: 52
=
29
X =
Solve for x:
log x + log(x + 3) = 9
=
Solve the system using substitution.
=
2x + 6y
7x + y =
— 26
= – 51
o One solution:
No solution
Infinite number of solutions
The admission fee at an amusement park is $4.00 for children and $7.20 for adults. On a certain
day, 288 people entered the park, and the admission fees collected totaled $1472. How many
children and how many adults were admitted?
number of children equals
number of adults equals
Solve the System. Give answer as (x, y, z).
3
– 5x + 2y – 42
– 10x 2y + 12
20x – 2y – 32
15
– 11
One or more solutions:
No solution
Infinite number of solutions