Choose the correct term to complete each sentence.
function, independent variable, discrete, range, continuous graph
If the value of "a" changes in response to the value of "b", then "b" is the ____________________.
independent variable
100
Identify the independent and dependent variable.
Number of Chairs Painted vs Paint Left
0 128 oz.
1 98 oz.
2 68 oz.
3 38 oz.
Independent: number of chairs
Dependent: paint left
100
Tell whether the function is continuous or discrete and why.
Your cost "c" to buy "w" pounds of walnuts at $6/lb is represented by c = 6w
continuous because you can buy any combination of cheese between 0 to 1 lb.
100
Tell whether the relation is a function.
{(-1, 7), (9, 4), (3, -2), (5, 3), (9, 1)}
No, because the domain of 9 is paired with two range values, 4 and 1. Functions don't do that.
100
Find the pattern and the next two terms.
1, 5, 25, 125....
multiply each previous term by 5
625, 3125
200
Choose the correct term to complete each sentence.
function, independent variable, discrete, range, continuous graph
A ________________ is a relationship that pairs each input value with exactly one output value.
function
200
Identify the independent and dependent variable.
Number of Snacks Purchased vs. Total Cost
0 $18
1 $21
2 $24
3 $27
Independent: Number of Snacks Purchased
Dependent: Total Cost
200
Tell whether the function is continuous or discrete and why.
A truck originally held 24 chairs. You remove 2 chairs at a time. The number of chairs "n" remaining after you make "t" trips is represented by n = 24 - 2t
Discrete because your taking exactly two chairs each time.
200
Tell whether the relation is a function.
{(2, 5), (3, 5), (4, -4), (5, -4), (6, 8)}
Yes, because no domain is paired with two ranges.
200
Find the pattern and the next two terms.
-2, -5, -8, -11....
decreasing by 3
-14, and -17.
300
Choose the correct term to complete each sentence.
function, independent variable, discrete, range, continuous graph
A(n)______________ graph consists of distinct, isolated points.
discrete
300
Tell whether the function is linear or nonlinear.
x vs y
1 0
2 1
3 8
4 20
nonlinear
300
Continuous because you can have any range between 0 and 1.5 in the hour.
Tell whether the function is continuous or discrete and why.
A burst pipe fills a basement with 37 in. of water. A pump empties the water at a rate of 1.5 in/h. The water level "l", in inches, after "t" hours is represented by l = 37 - 1.5t
Continuous because you can have any range between 0 and 1.5 in the hour.
300
Evaluate the function for x = 2 and x = 7
f(x) = 2x - 8
f(x) = -4
f(x) = 6
300
Find the pattern and the next two terms.
4, 6.5, 9, 11.5.....
Increasing by 2.5
14, 16.5
400
Choose the correct term to complete each sentence.
function, independent variable, discrete, range, continuous graph
The ______________ of a function consists of the set of all output values.
range
400
Tell whether the function is linear or nonlinear.
x vs y
1 0
2 4.5
3 9
4 13.5
linear
400
Write a function rule to represent the situation.
The volume "v" remaining in a 243 cubic ft pile of gravel decreases by 0.2 cubic ft with each shovelful "s" of gravel spread in a walkway.
v = 243 - 0.2s
400
Evaluate the function for x = 2 and x = 7
h(x) = -4x + 61
h(x) = 53
h(x) = 33
400
.
Tell whether the sequence is arithmetic. If it is, identify the common differences.
-15, -5, 5, 15.....
Yes, because there is a difference of 10
500
Choose the correct term to complete each sentence.
function, independent variable, discrete, range, continuous graph
A _____________________ is a graph where the values can be a range of values in-between points.
continuous graph
500
Tell whether the function is linear or nonlinear.
x vs. y
1 2
2 6
3 12
4 72
nonlinear
500
Write a function rule to represent the situation.
Your total cost "c" for hiring a garden designer in $200 for an initial consultation plus $45 for each hour "h" the designer spends drawing plans.
c = $200 + 45h
500
The domain of t(x) = -3.8x - 4.2 is {-3, -1, 4, 0, 8}. What is the range?
{7.2, 0.4, -19.4, -4.2, -34.6}
500
Tell whether the sequence is arithmetic. If it is, identify the common differences.
-7, -13, -20, -26