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Chapter 2: Q. 21 (page 113)

Write the function whose graph is the graph of y=x3, but is:

Shifted up 4units.

Short Answer

Expert verified

The function is y=x3+4

Step by step solution

01

Step 1. Given function

The given function isy=x3

02

Step 2. Find the function for graph shifted up 4 units.

If the graph is shifted upward by kunits that means kis added to the right side of the function.

Therefore, the new function will bey=x3+4

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Most popular questions from this chapter

match each graph to its function.

A. Constant function

B. Identity function

C. Square function

D. Cube function

E. Square root function

F. Reciprocal function

G. Absolute value function

H. Cube root function

Graph the function using the techniques of shifting, compressing, stretching, and/or reflecting. Start with the graph of the basic function and show all stages. Be sure to show at least three key points. Find the domain and the range of each function. Verify your results using a graphing utility.

h(x)=x-2

True or False

The graph of y=-f(x)is the reflection about the x-axis of the graph of y=f(x).

A wire of length xis bent into the shape of a circle.

Part (a): Express the circumference Cof the circle as a function of x.

Part (b): Express the areaAof the circle as a function ofx.

A right triangle has one vertex on the graph of y=x3,x>0,at x,y, another at the origin, and the third on the positive y-axis at 0,y, as shown in the figure. Express the area Aof the triangle as a function of x.
See all solutions

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