Functions
Function? Why or why not?
(-1, 2) (3, 3) (0, 2) (1, 5) (6, 8) (-9, 0)
Yes, no x's repeat
What time of slope is a horizontal line?
zero
a = 30 b = ? c = 50
40
Solve for x:
2x - 4 = 8
x = 6
Cube root of 27
R or I? Why?
R, integer
How do you know if a graph is a function?
Using the vertical line test, if you only hit one point at a time.
Explain what a line of best fit is.
A line going in the trend of the data (either upward or downward) where half of the dots from the graph are on either side of the line.
You travel 10 m North followed by 20 m East. What is the shortest distance to the tenth?
22.4 m
Solve for x: -3 + 5x = 4x - 10
x = -7
What is 1,500,000 in scientific notation?
1.5 x 106
Function? Why or why not? If function, state the domain and range.
x -1 0 -2 -3 3 2 1
y 1 2 1 2 1 1 2
Yes, no x's repeat
d: -3, -2, -1, 0, 1, 2, 3
r: 1, 2
What is the slope and the y-intercept of the line
y = -1/2x - 4 ?
Then state what it means by "y intercept".
slope = -1/2
y-intercept = -4
Where the line hits the y axis.
a = ? b = 25.5 c = 37.75
Round to the tenth.
27.8
What is the exact volume of a cylinder if the radius is 12.75 cm and the height is 6 cm?
975.375pi
What is 0.00000506 in scientific notation?
5.06 x 10-6
Can you have a function that is nonlinear? Explain why or why not.
Yes, you can have a curvy line that is a function if none of the dots line up on the graph.
What is the slope?
x -3 0 3
y 1 3 5
Explain what this means for a graph.
2/3
rise is 2 and run is 3
What is the distance between (6, 2) and (3, 7)? Round to the tenth.
5.8
What is the height of a cone whose diameter is 14.5 inches and volume is 2500 square inches? Round to the tenth.
45.4 in
Simplify:
12a5b6/15a3b
4/5 a2b5
Find 3 ordered pairs that satisfy the equation.
y = -3x - 2
Answers vary.
examples: (-1, 1) (0, -2) (1, -5)
Write an equation for the line:
You have to pay an initial cost of $100 to join a gym, followed by a $25 charge per month.
y = 25x + 100
What is the exact distance between (-1, 3) and (6, 5)?
Round to the tenth.
square root of 53
Solve for x:
7(2x - 1) = 17 + 6x
x = 3
How much larger is 1 x 1020 than 1 x 1014?
1 x 106