Function Vocab
Evaluating Function Rules
Function Stories
Scatterplots
Is it a Function?
100
The x variable is also known as the __________ and __________ variable.
What is the input and independent variable.
100
Given f(x) = -3x, find f(2)
What is -6
100
Write the function f(h) to represent the story:
Jake makes $15 an hour tutoring math.
What is f(h) = 15h
100
You have been working on a science project for 8 months. Each month, you have measured the length of a baby alligator.
Using your calculator, find the line of best fit for the data. Round to the hundredth.
y = 1.14x +21.58
100
Is it a function? {(2, 3), (4, 5), ( -2, 6)}
What is YES because x does not repeat. Showing that each input has one unique output.
200
The y variable is also known as the __________ and __________ variable.
What is the output and dependent variable.
200
Given
g(x)=x^2-x
Find g(-2)
What is 6
200
Write the function C(t) equation to represent the story:
Tom got in a car accident. It costs him a fixed amount of $500 plus an additional amount of $30 per hour for the repair.
What is C(t) = 30t + 500
200
Make a scatter plot of the data on your calculator. Tell whether the data show a positive,
a negative, or no relationship. You must show me the scatterplot and answer the question.
What is positive
200
Is this a function:
No, it fails the VLT. Example, when x = -2, there are two outputs.
300
What is the domain and range of the function
Domain: All real numbers,
Range: y ≤ 6
Domain
(-oo, oo)
300
If f(x) = -3 - x, solve f(x) = -9
What is x = 6?
300
Ian invested $2500 in an investment vehicle that is guaranteed to earn 4% interest compounded yearly. The amount of money, A, in his account as a function of the number of years, t, since creating the account is given by the equation
A(t)=2500(1.04)^t
. Evaluate A(0) and A(10) and interpret your answers (what do they represent?)
What is A(0) = $2500 and what is A(10) = $3700.61
$2500 is the initial amount Ian invested
$3700.61 represents the amount in the account year 10
300
The table shows the weights y of x pints of blueberries. Use your calculator to find the line of best fit. Write the equation and explain what the slope means in context of the problem.
What is a y = .74x + .01
Slope: For every additional pint, the weight of the blueberries will increase by about .74 pounds.
300
Does the table represent a function? Explain
| x | y |
| 2 | 4 |
| 1 | 5 |
| 2 | 6 |
What is NO because the x of 2 repeats with MORE THAN ONE output, 4 and 6.
400
A math rule or expression that assigns exactly one output for each input.
What is a function.
400
Given f(x) graphed below, evaluate f(-1)
What is 2
400
Ian invested $2500 in an investment vehicle that is guaranteed to earn 4% interest compounded yearly. The amount of money, A, in his account as a function of the number of years, t, since creating the account is given by the equation.
A(t)=2500(1.04)^t
Using tables on your calculator, determine, to the nearest whole year, the value of t that solves the equation A(t) = 5000 and interpret your answer.
Year 18 there will be $5064.50
400
EXPLAIN how to graph using your knowledge of point slope form (do not convert form and do not complete any calculations)
f(x)=3-1/2(x+7)
1) Graph the point (-7,3)
2) Starting at (-7, 3), go down 1 and to the right 2 find another point on the line and graph point. From this second point, go down 1 and 2 to find a third point on the line.
3) Use a ruler to connect the three points
4) Put an arrow at both ends of the line segment.
400
The function
h(x)=x^2+5
maps the domain given by the set {-2, -1, 0, 1, 2}. What is the range of h(x)? Give your answer is roster form
-
Thefunctionhxx25mapsthedomaingivenbytheset2,1,0,1,2. Whichofthefollowingsets
represents the range of hx?
What is {5, 6, 9}
500
The __________ is a function of the ____________.
The output (y) is a function of the input (x).
500
Given f(x) graphed below, solve f(x) = 0
What is x = -5, x = 0, and x = 4
500
Physics students drop a ball from the top of a 50 foot high building and model its height as a function of time with the equation
h(t) = 50-16t^2
Using TABLES on your calculator, determine, to the nearest tenth of a second, when the ball hits the ground.
What is 1.7 seconds
500
Which function is increasing at a faster rate?
A) y = 8x -10
B) y = 5x + 25
What is function A, a slope of 8 is greater than a slope of 5
500
Determine the domain of the function:
What is {x|x<5 or x>5}
Domain: all real numbers except 5, since 2(5) - 10 = 0, and 0 can't be in a denominator.