Vocabulary
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
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
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.
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.
Find the pattern and the next two terms. 1, 5, 25, 125....
multiply each previous term by 5 625, 3125
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
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
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.
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.
Find the pattern and the next two terms. -2, -5, -8, -11....
decreasing by 3 -14, and -17.
Choose the correct term to complete each sentence. function, independent variable, discrete, range, continuous graph A(n)______________ graph consists of distinct, isolated points.
discrete
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.
Evaluate the function for x = 2 and x = 7 f(x) = 2x - 8
f(x) = -4 f(x) = 6
Find the pattern and the next two terms. 4, 6.5, 9, 11.5.....
Increasing by 2.5 14, 16.5
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
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
Evaluate the function for x = 2 and x = 7 h(x) = -4x + 61
h(x) = 53 h(x) = 33
. 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
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
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
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}
Tell whether the sequence is arithmetic. If it is, identify the common differences. -7, -13, -20, -26
no.