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MAT 188_UNIT 1_ 2024-2025

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Last updated about 3 hours ago
28 questions
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Question 1
1.

Evaluate the function
given:

Question 2
2.

Graph the Function

  • Click a Graph tab (Graph 1, Graph 2, and so on) for each graph you need to plot.
  • Choose the correct graph type.
  • Click on the graph background to add a point. Add two points to create a graph. Drag a point or type in x and y coordinates to edit its position. Click on a point to delete it.
  • After creating your graph, you can check the dashed line box.
Linearexpand_more
Question 3
3.
Use the graph in Q2.
Find Domain _______
Range _______
X- intercepts_______
y-intercepts_______
Required
3
Question 5
5.

Which statement about the function below is true?

Required
2
Question 6
6.
Evaluate g(9) = _______
g(-2) = _______
Question 7
7.

Which statement is true regarding the relation below?

Required
1
Question 8
8.

Which equation, if true, will prove that f(x) is symmetric to the y-axis?

Refer to the image for the options.

Question 9
9.

Determine whether the function below is even, odd, or neither. Prove your answer algebraically.

Question 10
10.
Given the functions below, find (g – f)(x) and give its domain.


_______
Domain:
_______
Question 11
11.
Given the functions below, find (f + g)(x) and give its domain.


_______
Domain:
_______
Question 12
12.
Given the functions below, find and give its domain.

_______
Domain:
_______
Question 13
13.
Given the functions below, find
and give its domain.



_______

Domain:
_______
Question 14
14.
Given the functions below, find
and give its domain.



_______
Domain:
_______
Question 15
15.
Given the functions below, find
and give its domain.

_______
Domain:
_______
Question 16
16.
Given h(x) below, find two functions f and g such that



f(x) =_______
g(x)= _______
Question 17
17.
Evaluate each function given,


_______

(g-h)(-4) =
_______


_______

*** NO DECIMALS***
Question 18
18.

Which relation below represents a one-to-one function?

Question 19
19.

Is the above function one-to-one?

Question 20
20.
Find the inverse of the function,



_______
Question 21
21.
Find the inverse of the function



_______
Question 22
22.

Which of the following pair of functions are inverses? Verify your answer algebraically. SHOW YOUR WORK/EXPLANATION.

Use the Sequence of the options as A, B and C(Top to bottom)

Question 23
23.

Write equation explicitly in terms of x.

Question 24
24.

Q23 is a Function.

Question 25
25.
Find the zero(s) and y-intercepts of the function.

Zeros: _______
y-intercepts: _______
Question 26
26.

A rocket was launched into the air from a podium 6 feet off the ground. The rocket path is
represented by the equation
where h(t) represents the height, in feet,
and t is the time, in seconds. Find the average rate of change from the initial launch to the
maximum height.

Question 27
27.
State the vertical and horizontal asymptotes of the graph.
Horizontal Asymptote: _______
Vertical Asymptote:_______
Question 28
28.

Find the end behavior of the function using limit notation.

Question 4
4.

It is symmetric only to the y-axis.
A
B
C
D
Given graph, Identify the location and type of discontinuity
X=-2 Removable
x = -2, Jump
x= -2 Infinite
x= 3 Infinite
x=3 Jump
x =5 Jump
x= 5 infinite
x=5removable
x=3 removable