WorksheetsFunction Family
Total questions: 25
Worksheet time: 42mins
Name
Class
Date
1.
*Linear
A line contains the points (4, 3) and (19, −2). What is the slope of the line?
A line contains the points (4, 3) and (19, −2). What is the slope of the line?
a)
m = -1
b)
m = -3
c)
m = - 1/3
d)
m = 1/3
2.
*Linear
Write the equation for the line in slope-intercept form.
Write the equation for the line in slope-intercept form.
a)
y= -1x+3
b)
y= 4x+3
c)
y=1/4x+3
d)
y= -4x+3
3.
*Linear
A climber is on a hike. After 2 hours he is at an altitude of 400 feet. After 6 hours, he is at an altitude of 700 feet. What is the average rate of change?
A climber is on a hike. After 2 hours he is at an altitude of 400 feet. After 6 hours, he is at an altitude of 700 feet. What is the average rate of change?
a)
200
b)
150
c)
300
d)
75
4.
*Linear
Write the equation 4x + 2y = -12 in slope-intercept form.
Write the equation 4x + 2y = -12 in slope-intercept form.
a)
y = -2x - 6
b)
y = 2x - 6
c)
y = -2x + 6
d)
y = 2x - 6
5.
*Linear
You plan to go snowboarding. The resort charges $15 an hour in addition to $25 to rent a board. Write an equation that represents the cost to go snowboarding for the day.
You plan to go snowboarding. The resort charges $15 an hour in addition to $25 to rent a board. Write an equation that represents the cost to go snowboarding for the day.
a)
y=15x-25
b)
15x+25y=100
c)
25x+y=15
d)
y=15x+25
6.
*Linear
Write the equation of a line in Point Slope Form y-y = m(x - x) that goes through the point (-1, 3) and has a slope of 2
Write the equation of a line in Point Slope Form y-y = m(x - x) that goes through the point (-1, 3) and has a slope of 2
a)
y - 1 = 2(x + 3)
b)
y + 1= 2(x - 3)
c)
y - 3 = 2(x - 1)
d)
y - 3 = 2(x + 1)
7.
*Quadratic
Which answer choice describes y = -3x2 +7x - 2 accurately?
Which answer choice describes y = -3x2 +7x - 2 accurately?
a)
opens up with a maximum
b)
opens up with a minimum
c)
opens down with a maximum
d)
opens down with a minimum
8.
*Quadratic
How many solutions does this graph have?
How many solutions does this graph have?
a)
one
b)
two
c)
no solutions
d)
cannot be determined
9.
*Quadratic
What does "a" control in a graph of f(x) = ax2+ bx+ c?
What does "a" control in a graph of f(x) = ax2+ bx+ c?
a)
Opens up or down
b)
Where the graph crosses at X-intercept
c)
Where the graph crosses at Y-intercept
10.
*Quadratic
What is the vertex form of this quadratic?
What is the vertex form of this quadratic?
a)
f(x) = -(x + 2)2 - 4
b)
f(x) = (x - 2)2 + 4
c)
f(x) = (x - 2)2 - 4
d)
f(x) = -(x - 2)2 - 4
11.
*Quadratic
What are the roots/solutions/x intercepts of the function
f(x)= (2x - 2)(x + 3)?
What are the roots/solutions/x intercepts of the function
f(x)= (2x - 2)(x + 3)?
a)
x = - 2 or x = 3
b)
x = 1 or x = -3
c)
The are no real roots
d)
x = 2 or x = 3
12.
*Quadratic
Find the vertex of
f(x) = -1x2 - 4x + 12.
(-b/2a, f(-b/2a))
Find the vertex of
f(x) = -1x2 - 4x + 12.
(-b/2a, f(-b/2a))
a)
(-2, 16)
b)
(2, 0)
c)
(2, 4)
d)
(-2, 4)
13.
*Exponential
You invest $400 for 5 years and the interest rate is 4.29% each year. Which equation matches this scenario?
You invest $400 for 5 years and the interest rate is 4.29% each year. Which equation matches this scenario?
a)
y=400(1 - 0.0429)5
b)
y=400(1+.0429)5
c)
y=400(1+ 4.29)5
d)
y=400e0.049*5
14.
*Exponential
You have inherited land that was purchased for $30,000 in 1960. The value of the land increased by approximately 5% per year. What is the approximate value of the land 50 years later?
You have inherited land that was purchased for $30,000 in 1960. The value of the land increased by approximately 5% per year. What is the approximate value of the land 50 years later?
a)
$344,022
b)
$31,500
c)
$15,000
d)
$28,500
15.
*Exponential
f(x) = 3x- 4
Where is the asymptote?
f(x) = 3x- 4
Where is the asymptote?
a)
y = 4
b)
y = 3
c)
y = -4
d)
y = -3
16.
*Exponential
Given g(x)=(1/2)x
Write a function that is reflected over the line y=0 and translated 4 units up.
Given g(x)=(1/2)x
Write a function that is reflected over the line y=0 and translated 4 units up.
a)
f(x)= -(1/2)x+4
b)
f(x)= -(1/2)x+4
c)
f(x)= (1/2)x-4
17.
*Exponential
What kind of transformation is represented to the original function y = 2x
What kind of transformation is represented to the original function y = 2x
a)
up 1 unit
b)
left 1 unit
c)
right 1 unit
d)
down 1 unit
18.
*Exponential
Which function represents the table of values?
Which function represents the table of values?
a)
f(x) = 4x
b)
f(x) = x3
c)
f(x) = 4x
d)
f(x) = 4x-1
19.
*Polynomial
f(x)=(x+4)(x-3)(x-2)
List the zeros for this function.
f(x)=(x+4)(x-3)(x-2)
List the zeros for this function.
a)
x=-4, x=3, x=-2
b)
x=-4, x=3, x=2
c)
x=-4, x=-3, x=2
d)
x=4, x=3, x=2
20.
*Polynomial
The polynomial is...
The polynomial is...
a)
Odd degree, positive leading coefficient.
b)
Odd degree, negative leading coefficient.
c)
Even degree, positive leading coefficient.
d)
Even degree, negative leading coefficient.
21.
*Polynomial
This polynomial is degree 5.
It has...
This polynomial is degree 5.
It has...
a)
4 real zeros.
b)
3 imaginary zeros.
c)
a positive leading coefficient.
d)
a negative leading coefficient.
22.
*Polynomial
The function f(x)=2x6-3x4+2x-10 could...
The function f(x)=2x6-3x4+2x-10 could...
a)
have 6 real zeros.
b)
have 6 turns.
c)
have 4 real zeros and 3 imaginary zeros.
d)
have ends that point in opposite directions.
23.
*Polynomial
a)
y = x(x - 3)(x - 2)
b)
y = x(x - 3)2 (x+2)
c)
y = x(x + 3)2 (x - 2)
d)
y = -x(x + 3)2 (x - 2)
24.
*Polynomial
a)
y = _(x + 2)(x - 1)2
b)
y = -(x - 2)(x + 1)2
c)
y = (x - 2)(x + 1)2
d)
y = -x3
25.
When you are done, go to khan academy
a)
True
b)
False
100 %
