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20 questions
Graph the function shown by the table. Tell whether the function is linear or nonlinear.
graph the function.
f(x)=−5/3x−2
Graph the function.
f(x) = x3 − 2
Identify the domain and range of the relation. Use a mapping diagram to determine whether the relation is a function.
{(−1, 5), (3, 4), (2, 5), (−1, −3)}
The domain of the relation is {−3, 4, 5} and the range is {−1, 2, 3}. The relation is a function.
The domain of the relation is {−3, 4, 5} and the range is {−1, 2, 3}. The relation is a function.
The domain of the relation is {−1, 2, 3} and the range is {−3, 4, 5}. The relation is a function.
The domain of the relation is {−1, 2, 3} and the range is {−3, 4, 5}. The relation is not a function.
Identify the domain and range of the relation.
{(4, 7), (−3, 8), (5, −9), (−1, 8)}
The domain of the relation is {−1, −3, 4, 5} and the range is {−9, 7, 8}. The relation is a function.
The domain of the relation is {−1, −3, 4, 5} and the range is {−9, 7, 8}. The relation is not a function.
The domain of the relation is {−9, 7, 8} and the range is {−1, −3, 4, 5}. The relation is a function.
The domain of the relation is {−9, 7, 8} and the range is {−1, −3, 4, 5}. The relation is not a function.
Sheila is ordering pizzas for a party. Each plain pizza costs $9.00, and each topping costs $1.50. The delivery charge is $3.00. Write a function rule to show the total cost of the pizzas if the pizza ordered has 2 toppings. How much will 5 pizzas cost?
c = 12 + 3p; $27.00
c = 3 + 12p; $63.00
c = 6 + 10.5p; $58.50
c = 15p; $75.00
Find the range of the function for the domain {−3, 1, 4.5}.
y = −x + 1
{4, 2, −3.5}
{4, 0, −3.5}
{−2, 0, −5.5}
{−2, 2, −5.5}
Find the range of the function for the domain {−3, 1, 4.5}.
{12, 4, 8}
{−12, 4, 18}
{−18, 2, 40.5}
{18, 2, 40.5}
Find the third, eighth, and tenth terms of the sequence described by the rule.
A(n) = 6 + (n − 5) 2
−2, 0, 2
2, 12, 16
−4, 6, 10
−8, −6, −4
Find the third, eighth, and tenth terms of the sequence described by the rule.
A(n) = 5.1 + (n − 1)5.1
10.2, 35.7, 45.9
5.1, 10.2, 15.3
25.5, 51, 61.2
5.3, 40.8, 51
Tell whether the sequence is arithmetic. If the sequence is arithmetic, write a function rule to represent it.
12, −9, 6, −3, ...
no
yes; A(n) = 12 + (n − 1)(3)
yes; A(n) = 12 + (n − 1)(−3)
yes; A(n) = −3 + (n − 1)(12)
Tell whether the sequence is arithmetic. If the sequence is arithmetic, write a function rule to represent it.
−3, −1, 1, 3,...
no
A(n) = −3 + (n − 1)(−2)
A(n) = −3 + (n − 1)(2)
A(n) = 3 − (n − 1)(2)
Tell whether the relationship should be represented by a continuous or discrete graph. Explain.
the money raised from a raffle with a $200 prize where the tickets cost $2.50 per person
Continuous; the money raised depends on the number of tickets sold, and since any number of tickets can be sold, this situation is continuous.
Continuous; the money raised depends on the number of tickets sold, and since a person can buy more than one ticket, this situation is continuous.
Discrete; the money raised depends on the number of tickets sold, and since only a whole number of tickets can be sold, this situation is discrete.
Discrete; the $200 prize is a whole number, so the situation is discrete.
Tell whether the relationship should be represented by a continuous or discrete graph. Explain.
the height of a tree over time
Continuous; a tree grows gradually, not in steps, so this situation is continuous.
Continuous; a tree grows in steps, so this situation is continuous.
Discrete; a tree stops growing at a certain age, so this situation is discrete.
Discrete; a tree never stops growing, so this situation is discrete.
The rate for mailing an envelope is $0.80 per ounce. Choose a function rule that represents the total cost, c(w), to mail an envelope weighing w ounces. How much will it cost to mail an envelope that weighs 5 ounces?
c(w)=w/0.80 ;$6.25
c(w)=0.80/w ;$.16
c(w)=0.80w ;$4.00
c(w)=w+0.80 ;$5.80
Graph. y=x2 = 5
Write a function rule that represents the situation.
The price p of a pizza is $ 6.75
$6.75 plus $ 0.95
$0.95 for each of the t toppings on the pizza.
p = 6.75 + .95t
p = 6.75t + .95
6.75p= .95t
.95p= 6.75t
Find the area of a rectangle whose length is 7 ft more than its width and its width is 11 ft?
58
77
121
198
Write a recursive formula for the arithmetic sequence.
4, 12, 20, 28 , ...
A(n) = A(n-1) + 8 ; A(1) = 4
A(n) = A(n-1) + 32 ;A(1) = 4
A(n) = A(n-1) + 16 ;A(1) = 4
A(n) = A(n-1) - 8 ; A(1) = 4
The bids in an online auction are represented by the arithmetic sequence shown below. What is the twelfth bid?
206, 214, 222, 230, ...
278
286
294
302
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