Chp 1 calc

Find a constant with points (-2,-2); (-1,2); (1,2); (3,-1)

(-1,1)

Identify the intervals where the function is increasing

(3,infinity)

Evaluate the piecewise function

-6

Find the average rate of change; f(x)= square root of 2x from x1=2 to x2=8

1/3

Find and simplify the difference quotient for f(x)=x^2+7x+3

2x+h+7

Graph the function x+4 if x<1 and -1 if x>=1

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Graph the standard square root function of f(x)=square root of x then use transformations given; g(x)= square root of x -1

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Graph the standard square root function of f(x)=square root of x then use transformations given; g(x)= square root of x -2

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Use transformations of f(x)=1/x or f(x)=1/z^2 to graph g(x)=1/x-5

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Determine whether the given function is even, odd, or neither ; f(x)=2x^2+x^4

Even

Describe the transformation h(x)=-(x-2)^2

F.O.X. And right 2 units

G(x)=square root of -x +2

F.O.Y. And up 2 units

Describe the transformation of f(x)=1/(x+4)^2+2

Left 4; up 2

Graph the rational function and list the equations for the asymptotes of f(x)=-3/x^2-1

The bottom exponent is bigger so the horizontals asymptote is y=0 The vertical asymptote is (x-1)(x+1) which turns into x-1=0 & x+1=0 which means x can't =1 and c can't =-1

Find the vertical asymptotes of g(x)=x-2/x(x+3)

X=0 and x=-3

Passing through (2,2) and perpendicular to the line whose equation is y=4x+7; point slope form

Y-2=-1/4(x-2)

Passing through (4,2) and parallel to the line whose equation is y=-1/7x+5; in slope intercept form

y=-1/7x+18/7

find the horizontal asymptote for f(x)=2x/2x+3

y=1

find horizontal asymptote of g(x)=8x^2/2x^2+1

y=4