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Precalculus 1.1-1.4

Total questions: 22

Worksheet time: 44mins

Name
Class
Date
1.
Does this mapping diagram represent a function?
a)
No
b)
Yes
2.
a)
Function
b)
Not a Function
3.
What are the x- and y -intercepts on this graph?
a)
(0,5), (0,5)
b)
(5,0), (5,0)
c)
(5,0), (0,5)
d)
(0,0), (5,0)
4.
What is the RANGE of this graph?
a)
-7<x<5
b)
-7≤x<5
c)
-3<x<1
d)
-3≤x<1
5.
What is the DOMAIN of this function?
a)
-∞≤y≤∞
b)
-∞≤x≤∞
c)
∞<x<∞
d)
-∞<x<∞
6.
On what interval is the function INCREASING?
a)
(-∞ , 0)
b)
(0, ∞ )
c)
(-∞ , 4)
d)
(4, ∞ )
7.
On what interval is the function DECREASING?
a)
(0, -∞ )
b)
(0, ∞ )
c)
(4, -∞ )
d)
(-∞ , ∞ )
8.
What is the x-intercept(s) of the function?
a)
-2, 2
b)
4
c)
0
d)
All real numbers
9.
What is f(-1)?
a)
3
b)
0
c)
4
d)
-1
10.

What is/are the increasing interval(s) for the function shown?

a)

(3, 1)\left(-3,\ 1\right)

b)

(4, 8)\left(4,\ 8\right)

c)

(,1) and (3, 1)\left(-\infty,1\right)\ and\ \left(-3,\ 1\right)

11.
Which one of the following functions is odd?
a)
f(x) = 3x⁴ - 4x³
b)
g(x) = 5x⁴ + 3x²
c)
h(x) = 6x⁵ - x³
d)
k(x) = x⁶ + 8x²
12.
Which one of the following functions is even?
a)
f(x) = x⁴ + x³
b)
g(x) = x⁴ + x²
c)
h(x) = x⁵ + x³
d)
k(x) = x³ + x
13.
State the domain of the function (only one answer is the best)
a)
all real numbers
b)
x cannot equal 6
c)
x cannot equal 6 or 0
d)
x equals 6 and 0
14.
Classify the point (1,4)
a)
absolute maximum
b)
relative minimum
c)
absolute minimum
d)
relative maximum
15.
Is this graph a function or not a function? 
a)
Function 
b)
Not a Function 
16.
Is the graph an even, odd, or neither function
                        f(x) = x2 + 2
a)
Even 
b)
Odd
c)
Neither
17.

Find the midpoint of the points (-5, 8) and (-1, -4). Don't put any spaces in your answer.

(a)  

18.

Find the distance between the points (-5, 8) and (-1, -4)

a)

√178

b)

4√10

c)

2√13

d)

√34

19.

Find the x-intercept of the equation. Don't put any spaces in your answer.

 y=x+9y=\sqrt{x+9}  



(a)  

20.

Write the standard form equation of a circle with a center of (-6, 5) and a point on the circle of (3, 1).

a)

(x+6)2+(y5)2=97\left(x+6\right)^2+\left(y-5\right)^2=97

b)

(x3)2+(y1)2=97\left(x-3\right)^2+\left(y-1\right)^2=97

c)

(x+6)2+(y5)2=45\left(x+6\right)^2+\left(y-5\right)^2=45

d)

(x3)2+(y1)2=45\left(x-3\right)^2+\left(y-1\right)^2=45

21.

Write the equation of a line that passes through (30, 12) and is perpendicular to

 y=53x+2y=-\frac{5}{3}x+2  

a)

 y=35x6y=\frac{3}{5}x-6  

b)

 y=35x+30y=-\frac{3}{5}x+30  

c)

 y=53x38y=\frac{5}{3}x-38  

d)

 y=35x+12y=\frac{3}{5}x+12  

22.

Find the difference quotient and simplify your answer. 

 f\left(x\right)=\frac{f\left(x+h\right)-f\left(x\right)}{h}  
 f(x)=5x22xf\left(x\right)=5x^2-2x  
Type in your answer with no spaces



(a)