Math
The table gives values for the invertible function H and K at selected values of x.
1
the rational function f is given by f(x)=x3-x2-4x/x2-4x
1
Consider a circle centered at the origin in the xy-plane.
160/π
The figure shows a square sheet of cardboard On the left and an open box on the right
2
The figure shows the graph of quartic polynomial function P. How many points Of inflection does the graph of P have?
2
The figure shows the graph of a quartic polynomial function with zeros at A, B and C
2, because the quartic polynomial function has three real zeros
The polynomial function f is an odd function with domain -4≤x≤4
3
The function H models a periodic phenomenon. The maximum value of H is 8.
3.5cos(π/6t)+4.5
A builder is trying to find the maximum area that can be bounded
347
The height of a point on a dolphin swimming in the ocean can be modeled by a sinusoidal function h.
3sin(π/2t)
which of the following is equivalent to the expression
4cos(4π/5)
The average monthly high temperature in degrees Fahrenheit varies periodically for a certain city
64.9 F
The function L is defined by L(t) = ae-.0145t+b
69.102
The figure shows the graph of the Polar function r=f(θ)
6sin(2θ)
The figure shows a sphere that can expand
Graph is exponential
onsider the piecewise function W defined by W(t)
The average rate of change of W for 10≤t≤15
A data set that appears exponential is modeled by the function K given by k(t)=7⋅5t
The data appear as an exponential curve that is concave up.
The polar function
The distance is decreasing
The function f is given by g(x)=x+1
The graph of M has a hole at x=-1
The function f is given by f(x)=23x. Which of the following statements describes characteristics of the graph of f in the x-y plane ?
The graph of f is a vertical dilation of y=2 and f(x) is equivalent to 8
Consider the functions G and H
The range is (-∞,-1]u[1,∞)
For which of the following values of x is h(x) = 256?
X=5
A table of values is given for a data set that can be modeled with Y as a function of x
an exponential model is more appropriate for these data and residual plot 2
The population of people in a community is decreasing over time
in model Q the new growth factor is reduced by 0.9 times the growth factor in model P
The table gives values for the function f as selected values of x
polynomial greater than degree 2
The number of people waiting in line to enter a stadium can be modeled by the function B
the number of people in line reaches zero because the midline vertical shift is greater than the amplitude.
The binomial theorem
x5+5x4(3y)
The function G is given by g(x)=1+sinx/cosx
x=3π/2 ONLY
The function F is given by f(x)=e^3x, and the function G is given by g(x)=ln(3x). For x>0, which of the following is an expression for f(g(x))?
x^3
Both non-zero functions f and g are invertible
y=f-1(g-1(x))
The figure Shows the graph of an exponential function k
(1,3) and (2,9)
In the xy-plane, the function H is graphed on the interval 0≤x≤10
(3,-5)
the location of a point in the plane is given by polar coordinates (-3,2π/3)
(3,5π/3)
Consider the constant function f given by f(x)=-1 and the function given by g(x)=log3x. Let h be the function given by h(x)=g(x)-f(x). In the xy-plane, what is the x-intercept of the graph of h?
(⅓,0)
An object to travels along a horizontal line with velocity given by the function B
0 < t < 3 and 8 < t < 10
The table gives values of a function f at selected values of x
0,3 1,8 2,7 3,12
In the polar coordinate system the graph of a polar function R=f(θ)
from C to D
Let F be the function given by f(x)=sin x
g(x)=f(2x)
