linear functions
Consider this line y=-3x+8.
What is -3?
The slope.
What is the maximum number of x-intercepts a cubic function can have?
3
You flip a coin and roll a six-sided die. What is the probability of getting heads and a 3?
1/12
(1/2 x 1/6)
Describe the transformation.
f(x-3)+2
Right 3 and up 2.
What is y=0?
The horizontal asymptote.
What is the x intercept?
Where a line crosses the x-axis.
What is the y-intercept of this equation(as a point): 2x^3-4x^2+x-7
(0,-7)
You roll a die. What is the probability of rolling and odd number or a 4?
2/3
(3/6 + 1/6 =4/6)
Describe the transformation.
f(x+15)
Down 15.
What is the range for this equation f(x) -3^x+5?
y<5
What is (0,-4)?
A x-intercept or y-intercept?
y-intercept
What change/ transformation is there?
f(x)=x^3 g(x)= (x-4)^3
4 units right
A bag has 4 red and 4 blue marbles. You pick two marbles without replacement. What is the probability that both are blue?
3/14
(4/8 x 3/7)
Describe the transformation.
-f(x+2)-5
Reflect over x-axis, left 2, and down 5.
Is this a growth or decay?
500(1+.05)^3
growth
What is standard form?
Ax+By=C
What is x>0?
The domain
In a deck of 52 cards, what is the probability of drawing a red card or a jack?
7/13 or 28/52 (26/52+4/52-2/52 for red jacks)
Describe the transformation.
-f(-x+6)-2
Reflection over y-axis, x-axis, left 6, and down 2.
A population of frogs double every year. If the initial population is 50, what is the exponential function models the population after t years?
50(2)^2
Write the equation y-4=2(x+3) in slope intercept form.
y=2x+10
Distribute 2 so you get y-4= 2x+6, then you add the 4 so you get y=2x+10
What is ARN?
All real numbers in range
Explain the difference between independent and dependent events.
Independent events mean they don't rely on the other event to happen for them to occur meanwhile dependent means they must rely on the first event to happen.
Describe the transformation.
f(x)= -2(x+3)-7
Reflection over the x-axis, vertical stretch by a factor of 2, left 3, and down 7.
A $1,000 investment earns 5% annual interest compounded monthly. State the formula used to find its value after 3 years.
X= 1000(1+.05/12)^36