2.1 and 2.2
Find the value of f(x) = -5x + 4, for f(3).
-11.
Find the slope of the line that passes through the points (3,6) and (-5,-10).
2.
Describe the correlation with the given data points. (0,22) (300,20) (500,13) (1000,7) (2000,6).
The data shows a weak negative correlation.
Describe the transformation in the absolute value function, f(x) = |x+1| + 2.
Move x 1 unit to the left and 2 units up.
A one to one function.
What is a function where each element of the domain pairs to exactly one unique element of the range?
Is y=mx2 + b a linear function? Yes or no. Explain.
No; it is not a linear function because a variable in a linear function cannot have an exponent other than 1.
Write an equation of the line passing through the points (6,12) and (4,9).
Y=-4x+25
Find the domain and range of f(x)=2|x|.
Domain= All real numbers.
Range= f(x) is greater than or equal to 0.
Do you shade below or above the boundary line in the inequality x-2 is greater than 6.
Below.
Point-Slope Form.
What is y-y1=m(x-x1)?
The distance and time spent traveling between two cities is given by the equation y=56x, where x is the number hours spent driving. How far can you drive in 5 hours?
280
Find the equation that is parallel to y=2x+4 and goes through the point (1,3).
Y=2x+1.
Use the data to find the prediction equation.
(7,125) (8,116) (9,142) (10,154) (11,146) (12,175)
y=10x-20,195.
Describe the transformation in y=x2 -3.
y=x2 shifted down 3 units.
Strong Positive Correlation.
What is the slope of the line is positive and the points are close to the line?
Look at the set of numbers. Find the domain and range, then determine whether it is a function. If so, determine if it is one-to-one, onto, both, or neither.
[(1,2), (3,4), (5,6), (7,8)]
Domain= (1,3,5,7), Range= (2,4,6,8), Function; both.
David paid a $200 down payment for a new phone. He pays $25 monthly for the phone. Write an equation that represents the total amount he paid for x months.
Y=25x+200
Identify the domain and range of
g(x) =2[[0.5x + 4]].
Domain= All real numbers
Range= All even integers.
Alex saved $96 for new shirts. A regular t-shirt (t) cost $8 and a button down shirt (b) costs $12. Write an inequality that represents the number of shirts Alex can purchase.
96 is greater than or equal to 8t + 12b.
Continuous Relation.
What is when the domain or a relation has an infinite number of elements and the relation can be graphed with a line or smooth curve?
An ice skating rink charges $2.50 for renting a skate and $3.25 for hours spent. The amount a skater can be charged is expressed as y= 2.50+3.25x, when x is equal to or greater than 1, and is an integer. Find the domain and range.
Domain= (1,2,3,4,5...) Range= (5.75,9,12.25,15.5,18.75...).
The Washington Monument is 555 feet 5 1/5 inches tall and weighs 90,854 tons. The monument is topped by an aluminum square pyramid. The sides of the pyramid's base measure 5.6 inches, and the pyramid is 8.9 inches tall. Estimate the slope that a face of the pyramid makes with its base.
About 3.2.
A large arch is being constructed at the entrance of a new city hall building. The shape of the arch resembles the graph of the function f(x) = -.025x2 + 3.64 x-0.038. Describe the shape of the arch.
Parabola.
Linear Function.
What is a function where a line is written in slope intercept form, x and y are to the first power, and the slope and y intercept are identifiable.
What is a function written in slope intercept form, x and y are to the first power, and the slope and y-intercept are identifiable?