Section 1.1

Determine whether the relation represents a function. If it is a function, state the domain and range. {(-4, 19), (-3, 12), (0, 3), (3, 12), (5, 28)}

function domain: {-4, -3, 0, 3, 5} range: {19, 12, 3, 28}

Determine the domain of the function. f(x) = √3-x

x ≤ 3

Find the function value. Find f(-6) when f(x) = 9 - 3x^2.

-99

Compute and simplify the difference quotient f(x=h)/h - f(x), h≠0 f(x) = 5x^2 + 7x

10x + 5h + 7

Solve the problem. The function F described by F(x) = 2.75x + 71.48 can be used to estimate the height, in centimeters, of a woman whose humerus (the bone from the elbow to the shoulder) is x cm long. Estimate the height of a woman whose humerus is 30.93 cm long. Round your answer to the nearest four decimal places.

156.5375 cm

Solve the problem. The function M described by M(x) = 2.89x + 70.64 can be used to estimate the height, in centimeters, of a male whose humerus (the bone from the elbow to the shoulder) is x cm long. Estimate the height of a male whose humerus is 30.93 long. Round your answer to the nearest four decimal places.

160.0277 cm

Find the function value. Given that f(x) = 5x^2 - 2x, find f(t + 2).

5t^2 + 18t + 16

Solve the problem. The point at which a company's costs equals its revenue is the break-even. C represents cost, in dollars, of x units of a product. R represents the revenue, in dollars, for the sale of x units. Find the number of units that must be produced and sold in order to break even. C = 15x + 12,000 R = 18x - 6000

6,000

Determine the domain of the function. f(x) = - 7x + 9

All real numbers

Determine the domain of the function. f(x) = 8/x^3

All real numbers except 0

Determine the domain of the function. f(x) = x/x-2

All real numbers except 2

Determine whether the function is linear, constant, or neither. y - 12 = 0

Constant

Determine whether the function is linear, constant, or neither. y = 2π/3

Constant

Determine whether the function is linear, constant, or neither. y = x+3/7

Linear

Determine whether the function is linear, constant, or neither. y = x^3 - x^2 + 8

Neither

Determine whether the relation represents a function. If it is a function, state the domain and range. {(41, -3), (5, -2), (5, 0), (9, 2), (21, 4)}

Not a function

Solve the problem. To estimate the ideal minimum weight of a woman in pounds multiply her height in inches by 4 and subtract 130. Let W = the ideal minimum weight and h = height. Express W as a linear function of h.

W(h) = 4h - 130