The average rate of change is the same as the _ _ _ _ _.
SLOPE
100
The sketch of a quadratic equaion
This would be a parabola, or a U shaped graph, facing upwards or downwards.
100
Solve: 2x+6=-3
-9/2
100
Exponential graph of
g(x) = 2(1/4)^x
What is the y-intercept?
2
100
What does the domain represent?
x values of the graph, from left to right
200
What is the formula for slope or rate of change
y2-y1 over x2-x1
200
Translate to an algebraic expressio using interval or inequalities:
x is greater than or equal to -2 and less than 1.
-2 <_ x < 1
200
Substitute 4 for x and solve.
x(x-2)
8
200
Is the following relation a function? WHY
g(x) = {(0,2),(1,6),(1,2),(0,6)}
No, this relation is not a function because there are repeating x-values.
200
What is the range?
range is the y-values, up and down
300
The general form for a linear equation
y=mx+b
300
IF f(x)=x^2 - 3x -1, find f(4).
f(4)=(4)^2 -3(4) -1
f(4) = 16 - 12 -1 =3
300
2(2t-4)=16-2t
4
300
0.15x + 0.05(20-x) = 0.10(-4)
-14
300
graph the following and describe what type of graph it is, if it is growing or decaying.
f(x) = (0.5)^x
Exponential decay
400
Find the average rate of change from 0 to 4 in the table below
x| 0 1 2 3 4
y| -2 0 2 4 6
6-(-2) over 4-0 = 8/4 = 2/1
The rate of change over this interval is 2.
400
Solve for y. Label the slope and y-intercept
4x+9y=36
y = 4 - 4/9x
or y= -4/9x + 4
IF reduced, y= -2/3x + 4
SLOPE: -2/3 and y-intercept: 4
400
5(2x+6)-2=7(x+4)
0
400
if a parabola is modeled by f(x) = x^2 - 2x + 2, give a table and circle the turning point of the graph. Then STATE the turning point (x,y).
(1,1)
400
Write the following function in words:
f(x) = { x + 1 if -8 < x < 14
IF x is greater than -8 and less than 14, then the rule for y is x+1
500
Find the greatest average rate of change over the intervals below.
x| 0 1 2 3 4
y| 4 9 6 1 0
Working backwards:
The first one is 0-1 over 4-3 = -1
The second one is 1-6 over 3-2 = -5
The third one is 6-9 over 2-1 = -3
The forth one is 9-4 over 1-0 = 5
The answer would be either the second or the forth interval, -5 or 5. both are changing 5 boxes. both answers are correct.
500
A truck's drive to drop off products to its registered stores begins driving at a constant speed of 60 miles per hour for 3 hours. He has to stop for gas and goes to a gas station that is backed up so his truck is at rest for 30mins. Afterwards, he resumes driving again at 60 miles per hour for the last hour until he reaches his destination. Sketch the graph as a story. Label your axis, x and y, and place numbers on the axis.
(GRAPH)
500
Solve.
8[3-(4+4x)]-2x=-10+2(1-17x)
All real numbers.
500
Write "x is any real number" in interval notation.