Linear Functions
What is the set of values that we are allowed to plug into our function and the values that the function shoots out after we plug an x value in.
Domain and Range
What is the solution of the system of equations shown below?
y = −x + 3
y = 4x − 2
(1,2)
Function where the greatest integer that is less than or equal to x
What is floor function?
How to rewrite a square root using rational exponents
The top number in the rational exponent tells you the power and the bottom number tells you the root you are taking.
Simplify. Write your answer in standard form.
(4x3 + 6x − 7) + (3x3 − 5x2 − 5x + 9)
7x3 − 5x2 + x + 2
At a summer camp, 6-year-olds are in Group A, 7-year-olds are in Group B, and 8-year-olds are in Group C. Is the group assignment a function of age? If so, is the function one-to-one or many-to-one?
Yes; one to one
Solve the system of equations below by graphing.
y = −5x
y = x − 6
(1,-5)
Function where the least integer that is greater than or equal to x
What is ceiling function?
What are the key features of f(x) = 8x?
y-int
asymptote
range
y-int: 1
asymptote: y=0
range: y>0
Write the factored form of y2 + 11y + 28
(y+7)(y+4)
Elijah is keeping track of his baby sister’s shoe size at different ages. Is this a discrete or continuous function?
Discrete
Evaluate the floor function for the given value.
f(x) = ⌊x⌋; x = 1.2
1
An exponential function repeatedly multiplies an initial amount by the same positive number
What is constant ratio
A ball is thrown into the air. The height h, in feet, of the ball after x seconds is given by the function h = −16(x − 2)2 + 72. What is the equation in standard form and the maximum height of the ball?
h(x) = −16x2 + 64x + 8; 72 ft
Find the value of f(–2) for the function f(x) = 4x + 10
2
A wildlife biologist determines that there are approximately 200 deer in a region of a national park. The population grows at a rate of 7% per year. What is an exponential function that models the expected population?
f(x) = 200(1.07)x
What is the y-int, vertex, and line of symmetry of y2 + 11y + 28?
Vertex: (-5,-2.25)
Line of symmetry: x=-5.5
y-int: y=28
an = a + (n - 1)d
What is recursive formula?
Caterer A charges $15 per person and $100 to set up tables. Caterer B charges $20 per person and $50 to set up tables. Graph a system of equations. For what number of guests will the cost of Caterer A be the same as the cost of Caterer B? What is the cost for that number of guests?
10;$250
A business purchases a computer system for $3,000. The value of the system decreases at a rate of 15% per year. Write an exponential function to model this situation. Then determine how much the computer will be worth after 4 years.
f(x)=3000(.85)x
$1,566.02