Functions
evaluate for x:
x=65+5y if y=5
what is x=90
find the inverse of f(x)=x3+10.
f-1(x)=(x-10)3
multiply the polynomials:
6x2(2x4)
what is 12x6
write a linear function with a slope of -1/5 and a y-intercept of 5
f(x)=−1/5x+5
what is the y-intercept of the following function?
f(x)=x^2+16x-16
y= -16
what is (0,-16)
if g(m)=m−4, solve g(m)=6
m=2
give the inverse of the function f = {(4,7), (2,-3), (5,7),(1, 8)}
f-1 = {(7,4), (-3,2), (7,5), (8, 1)}
simplify:
(4x^3-6x+10) +(3x^3+7x-5)
7x^3+x+5
what is the slope and y-intercept of the following function?
y=-x/2+5
slope= -1/2
y-intercpet=5
when does this function reach its minimum?
f(x)=x^2-2x+10
(1,9)
if g(x) = x2 + 6, what is g(-3) and g(0)
what is
g(-3)=15
g(0)=6
find the inverse of the following function:
g(x)=(x+4)2
g-1(x)=√x−4
evaluate the polynomials:
(c + 3)(c2 - 4c + 1)
c^3−3c^2−9c+2
Find an equation for the linear function, "f", if
f(0.4)=–5.9 and f(0.1)=11.5
f(x)=−58x+17.3
solve the equation using the quadratic formula:
x^2 – 5x – 24 = 0
what is
x=8
x=-3
f(x)= 4r^2+45r-10
what is f(-10) and f(4)
f(-10)= -60
f(4)= 234
Find the inverse of the function
f(x)=2+(x−3)1/2
f^−1(x)=(x-3)^3 -2
simplify:
(7x^(3)-2x^(2)-4)-(3x^(2)+7x-6)
what is 7x^3−5x^2−7x+2
is the following a linear function?
x=2-1
yes, because x=1
solve the equation by factoring:
5x2+25x
what is 5x(x+5)
write a function rule given the points:
(1,5);(1,5);(2,9);(-1,9)
what is x=1
find the inverse of the function:
g(x)=2x/1-x
g-1(x)=x/2+x
6x^2-3x+4-(-2x^2+2x-2)
8x^2-5x+6
A company sells cookies. They incur a fixed cost of $55,000 for rent, insurance, etc. It costs $0.25 to produce each cookie.
a) Write a linear model to represent the company's cost as a function of the number of cookies produced.
b) Find and interpret the y-intercept.
a. C(x)=0.25x+55,000
b) The y-intercept is (0,55,000). If the company does not produce a single cookie, they still incur a cost of $55,000.
The path of an jet pilot is given the following function, where "h" is the height in yards and "t" is the time in seconds.
h(t)=—3t2+30t+73
a) At what time does the pilot allow the jet reach its maximum height?
b) What is the maximum height of the jet?
c) When does the jet land (rounded to the nearest second)?
a) 5 secs
b) 148 yds
c) 12 secs