Test 4

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x²+2x-1

Find the composition (gof)(x) of the given functions: f(x)=x²+2x-6 and g(x)=x+5

(-∞,-2)(-2,∞)

Find the domain of f(x)=5x/x+2

(-∞,∞)

Find the domain of f(x)=x²+8x-1

(-∞,∞)

Find the domain of g(x)=|x|+13

y=2x-3

Find the equation of the line parallel to y=2x+6 and passing through (4,5).

y=-1/2x+7

Find the equation of the line perpendicular to y=2x+6 and passing through (4,5).

y=4x+3

Find the equation of the line with a slope of 4 and passing through (0,3).

[1,∞)

Find the range of f(x)=√x-3 +1

[6,6]

Find the range of g(x)=6

(-∞,2)(2,∞)

Find the range of h(x)=2x/x-11

y=7

Let x and y be directly related. If x is 18 when y is 6, find y when x is 21.

y=10

Let x and y be inversely related. If x is 5 when y is 6, find y when x is 3.

function

State if the following equation is a function or is not a function: f(x)=x²+5x-6

not a function

State if the following equation is a function or is not a function: f(x)=±√x-5

not a function

State if the following ordered pairs represent a function or do not represent a function: (3,4) (5,6) (3,2)

x²+12x+29

Type the composition (fog)(x) of the given functions: f(x)=x²+2x-6 and g(x)=x+5

x²+x-11

Type the difference of the given functions (f-g)(x): f(x)=x²+2x-6 and g(x)=x+5

x³+x²-9x-9

Type the product of the given functions (fg)(x): f(x)=x²-9 and g(x)=x+1

f(-1)

Using function notation, what correctly states evaluating the function f(x) when x=1?

constant

What best describes the function f(x)=4? constant, absolute value, quadratic, or radical

(3/2, 7/2)

What is the midpoint of the line between (5,6) and (-2,1)?

m=-5/2

What is the slope of a line perpendicular to y=2/5 x+3?

undefined

What is the slope of a vertical line?

-3/4

What is the slope of the line between (3,-2) and (-5,4)?

(5,6)

What is the vertex of the parabola f(x)=(x-5)²+6?

horizontal translation

What transformation is performed on the parabola f(x)=(x+6)²?

vertical stretch

What transformation is performed on the parabola f(x)=2x²?


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