###### Precalculus Functions and Graphs

668 SOLVED PROBLEMS

Question: 8.3.9

## Graph the inequality 27y³ ≤ 8+x³. ...

We must first solve the associated equality for y:...
Question: 8.5.2

## Solve the system {x-2y+3z= 4 2x+y-4z=3  -3x+4y-z=  -2 ...

We begin with the matrix of the system—that is, wi...
Question: 2.4.10

## Let f(x)=x^2/3-3. (a) Find f(-2). (b) Sketch the graph of f. (c) State the domain and range of f. (d) State the intervals on which f is increasing or is decreasing. (e) Estimate the x-intercepts of the graph to one-decimal-place accuracy. ...

(a) Shown to the right are four representations of...
Question: 2.5.9

## Sketch the graph of the function f if f(x)= 2x+5 if  x ≤-1  x²  if |x|<1 2  if  x ≥1 ...

We begin by making the assignment Y_1=(\und...
Question: 2.5.13

## Estimate the solutions of |0.14x²-13.72|>|0.58x|+11 ...

latexTo solve the inequality, we make the assignme...
Question: 2.6.7

## Find the vertex of the parabola y=f(x)=-2x²-12x-13. ...

Since the coefficient of x² is -2 and -2<0, the...
Question: 2.6.9

## A projectile is fired vertically upward from a height of 600 feet above the ground. Its height h(t) in feet above the ground after t seconds is given by h(t)=-16t²+803t+600 (a) Determine a reasonable viewing rectangle that includes all pertinent features of the graph of h. (b) Estimate when the ...

(a) The graph of h is a parabola that opens downwa...
Question: 2.6.8

## A long rectangular sheet of metal, 12 inches wide, is to be made into a r gutter by turning up two sides so that they are perpendicular to the sheet. many inches should be turned up to give the gutter its greatest capacity? ...

The gutter is illustrated in Figure 9. If x denote...
Question: 2.7.1

## If f(x)=3x-2 and g(x)=x³, find (f+g)(2),(f-g)(2),(fg)(2), and (f/g)(2) ...

\begin{aligned}&\text {Since} f(2)=3(2)...