In Exercises 39-52, a. Find an equation for f − 1 ( x ) . b. Graph f and f − 1 in the same rectangular coordinate system . c. Use interval notation to give the domain and the range of f and f − 1 . f ( x ) = x 2 − 1 , x ≤ 0
In Exercises 39-52, a. Find an equation for f − 1 ( x ) . b. Graph f and f − 1 in the same rectangular coordinate system . c. Use interval notation to give the domain and the range of f and f − 1 . f ( x ) = x 2 − 1 , x ≤ 0
Solution Summary: The author explains the steps to determine the inverse of a function.
b.Graph f and
f
−
1
in the same rectangular coordinate system.
c.Use interval notation to give the domain and the range of f and
f
−
1
.
f
(
x
)
=
x
2
−
1
,
x
≤
0
System that uses coordinates to uniquely determine the position of points. The most common coordinate system is the Cartesian system, where points are given by distance along a horizontal x-axis and vertical y-axis from the origin. A polar coordinate system locates a point by its direction relative to a reference direction and its distance from a given point. In three dimensions, it leads to cylindrical and spherical coordinates.
Use Euler's method to numerically integrate
dy
dx
-2x+12x² - 20x +8.5
from x=0 to x=4 with a step size of 0.5. The initial condition at x=0 is y=1. Recall
that the exact solution is given by y = -0.5x+4x³- 10x² + 8.5x+1
Find an equation of the line tangent to the graph of f(x) = (5x-9)(x+4) at (2,6).
Find the point on the graph of the given function at which the slope of the tangent line is the given slope.
2
f(x)=8x²+4x-7; slope of the tangent line = -3
Chapter 1 Solutions
MyLab Math with Pearson eText -- Standalone Access Card -- for Precalculus (6th Edition)
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