Find a good window setting for the graph of the function. The graph should show all the zeros of the polynomial. f (x) = 3x3 + 52x2 - 12x - 12
> Sketch the graph of the function. f (x) = x2 + 1
> Use the laws of exponents to simplify the algebraic expressions. Your answer should not involve parentheses or negative exponents. (x1/3)6
> Use the laws of exponents to simplify the algebraic expressions. Your answer should not involve parentheses or negative exponents. (xy)6
> Use the laws of exponents to compute the numbers. (61/2)0
> Use the laws of exponents to compute the numbers. 74/3 / 71/3
> Use the laws of exponents to compute the numbers. (125 * 27)1/3
> Use the laws of exponents to compute the numbers. (8/27)2/3
> Use the laws of exponents to compute the numbers. 200.5 * 50.5
> Use the laws of exponents to compute the numbers. (21/3 * 32/3)3
> In Exercises 7–12, express f (x) + g(x) as a rational function. Carry out all multiplications. f (x) = 3 / x – 6, g(x) = -2 / x - 2
> Use the laws of exponents to compute the numbers. 35/2 / 31/2
> Use the laws of exponents to compute the numbers. 104 / 54
> Describe the domain of the function. g(x) =4 / x(x + 2)
> Use the laws of exponents to compute the numbers. (94/5)5/8
> Use the laws of exponents to compute the numbers. 61/3 * 62/3
> Use the laws of exponents to compute the numbers. (31>3 * 31>6)6
> Use the laws of exponents to compute the numbers. 51/3 * 2001/3
> Compute the numbers. 1-1.2
> Compute the numbers. (.01)-1.5
> Compute the numbers. (1/8)-2/3
> In Exercises 7–12, express f (x) + g(x) as a rational function. Carry out all multiplications. f (x) = 2 / x - 3, g(x) = 1 / x + 2
> Compute the numbers. 4-1/2
> Compute the numbers. (81)0.75
> Compute the numbers. 160.5
> Describe the domain of the function. g(x) = 1 / √(3 – x)
> Compute the numbers. 91.5
> Compute the numbers. (1.8)0
> Compute the numbers. (27)2/3
> Compute the numbers. (25)3/2
> Compute the numbers. 163/4
> Compute the numbers. 84/3
> Graph the following equations. y = -2x + 3
> Compute the numbers. (-5)-1
> Compute the numbers: (.01)-1
> Compute the numbers. (½)-1
> Compute the numbers. 6-1
> Describe the domain of the function. f (t) =1 / √t
> Compute the numbers. (1 / 125)1/3
> Compute the numbers. (.000001)1/3
> Compute the numbers. (27)1/3
> Compute the numbers. (16)1/2
> Compute the numbers. (.01)3
> Use intervals to describe the real numbers satisfying the inequalities. x < 3
> Compute the numbers. -42
> Compute the numbers. (100)4
> Compute the numbers. (.1)4
> Use the quadratic formula to find the zeros of the functions in Exercises 1–6. f (x) = 2x2 - 7x + 6
> Find a good window setting for the graph of the function. The graph should show all the zeros of the polynomial. f (x) = 2x5 - 24x4 - 24x + 2
> Describe the domain of the function. f (x) =8x / (x - 1)(x - 2)
> Find a good window setting for the graph of the function. The graph should show all the zeros of the polynomial. f (x) = x4 - 200x3 - 100x2
> Find a good window setting for the graph of the function. The graph should show all the zeros of the polynomial. f (x) = x3 - 22x2 + 17x + 19
> In Exercises 51–54, find the points of intersection of the graphs of the functions. (Use the specified viewing window.) f (x) = 1 / x; g(x) = √(x2 – 1); [0, 4] by [-1, 3]
> Graph the following equations. y = - ½ x - 4
> In Exercises 51–54, find the points of intersection of the graphs of the functions. (Use the specified viewing window.) f (x) = 3x4 - 14x3 + 24x - 3; g(x) = 2x - 30; [-3, 5] by [-80, 30]
> In Exercises 51–54, find the points of intersection of the graphs of the functions. (Use the specified viewing window.) f (x) = -x - 2; g(x) = -4x2 + x + 1; [-2, 2] by [-5, 2]
> In Exercises 51–54, find the points of intersection of the graphs of the functions. (Use the specified viewing window.) f (x) = 2x - 1; g(x) = x2 - 2; [-4, 4] by [-6, 10]
> In Exercises 47–50, find the zeros of the function. (Use the specified viewing window.) f (x) = x / (x + 2) - x2 + 1; [-1.5, 2] by [-2, 3]
> In Exercises 47–50, find the zeros of the function. (Use the specified viewing window.) f (x) = √(x + 2) - x + 2; [-2, 7] by [-2, 4]
> In Exercises 47–50, find the zeros of the function. (Use the specified viewing window.) f (x) = x3 - 3x + 2; [-3, 3] [-10, 10]
> An office supply firm finds that the number of laptop computers sold in year x is given approximately by the function f (x) = 150 + 2x + x2, where x = 0 corresponds to 2015. (a) What does f (0) represent? (b) Find the number of laptops sold in 2020.
> Draw the following intervals on the number line. (4, 3π)
> In Exercises 47–50, find the zeros of the function. (Use the specified viewing window.) f (x) = x2 - x - 2; [-4, 5] [-4, 10]
> When a car is moving at x miles per hour and the driver decides to slam on the brakes, the car will travel x + (1/20) x2 feet. (The general formula is f (x) = ax + bx2, where the constant a depends on the driver’s reaction time and the constant b depends
> Graph the following equations. y = 3x + 1
> Suppose that the cable television company’s cost function in Example 4 changes to C(x) = 275 + 12x. Determine the new breakeven points.
> Solve the equations in Exercises 39–44. x2 - 8x + 16 / 1 + √x = 0
> Solve the equations in Exercises 39–44. x2 + 14x + 49 / x2 + 1 = 0
> Solve the equations in Exercises 39–44. 1 = 5 / x +6 / x2
> Solve the equations in Exercises 39–44. x + 14 / x + 4 = 5
> Solve the equations in Exercises 39–44. x + 2 / x – 6 = 3
> Solve the equations in Exercises 39–44. 21/x - x = 4
> Find the points of intersection of the pairs of curves in Exercises 31–38. y = 30x3 - 3 x2, y = 16x3 + 25x2
> The boiling point of tungsten is approximately 5933 Kelvin. (a) Find the boiling point of tungsten in degrees Celsius, given that the equation to convert x°C to Kelvin is k(x) = x + 273. (b) Find the boiling point of tungsten in degrees Fahrenheit. (Tu
> Find the points of intersection of the pairs of curves in Exercises 31–38. y = ½ x3 + x2 + 5, y = 3x2 - 12x + 5
> Graph the following equations. y = 3
> Draw the following intervals on the number line. [ -1, 4]
> A new plant forms from a stem that broke off of the parent plant. This is an example of ______. a. nodal cloning b. exocytosis c. asexual reproduction d. tissue culture propagation
> Exposure to ______ can trigger seed germination. a. light b. cold c. smoke d. all can be triggers
> Cotyledons develop as part of ______. a. carpels b. accessory fruits c. embryo sporophytes d. flowers
> Commands to move your right arm start in the _________. a. left frontal lobe b. right occipital lobe c. right temporal lobe d. left parietal lobe
> When you sit quietly on the couch and read, output from _______ neurons prevails. a. sympathetic b. parasympathetic
> Which neurotransmitter is important in reward-based learning and drug addiction? a. Ach b. serotonin c. dopamine d. epinephrine
> What chemical is released by axon terminals of a motor neuron at a neuromuscular junction? a. Ach b. serotonin c. dopamine d. epinephrine
> 1. Neurotransmitters are released by. a. axon terminals b. a neuron cell body c. dendrites d. glial cells 2. Which of the following are not in the brain? a. Schwann cells b. astrocytes c. microglia
> _____ relay messages from the brain and spinal cord to muscles and glands. a. Motor neurons b. Sensory neurons c. Interneurons d. Neuroglia
> Some survivors of disastrous events develop posttraumatic stress disorder (PTSD). Symptoms include nightmares about the experience and suddenly feeling as if the event is recurring. Brain-imaging studies of people with PTSD showed that their hippocampus
> Restoring a marsh that has been damaged by human activities is an example of ________. a. biological magnification b. bioaccumulation c. ecological restoration d. globalization
> Seeds are mature __________; fruits are mature _______. a. ovaries; ovules b. ovules; stamens c. ovules; ovaries d. stamens; ovaries
> The seed coat forms from the _________. a. integuments b. coleoptiles c. endosperm d. sepals
> Meiosis of cells in pollen sacs forms haploid __________. a. megaspores b. microspores c. stamens d. sporophytes
> An animal pollinator may be rewarded by ______ when it visits a flower of a coevolved plant (choose all that apply). a. pollen b. nectar c. hormones d. fruit
> 1. The arrival of pollen grains on a receptive stigma is called. a. germination b. fertilization c. pollination d. propagation 2. The ______ of a flower contains one or more ovaries in which eggs develop, fertilization occurs, and seeds mature. a. polle
> Why do eudicot trees tend to be wider at the base than at the top?
> Aboveground plant surfaces are covered with a waxy cuticle. Why do roots lack this protective coating?
> El Malpais National Monument, in west central New Mexico, has pockets of vegetation that have been surrounded by lava fields for about 3,000 years, so they have escaped wildfires, grazing animals, agricultural activity, and logging. Henri Grissino-Mayer
> In plants, fibers are a type of cell. a. parenchyma b. sclerenchyma c. collenchyma d. mesophyll
> El Malpais National Monument, in west central New Mexico, has pockets of vegetation that have been surrounded by lava fields for about 3,000 years, so they have escaped wildfires, grazing animals, agricultural activity, and logging. Henri Grissino-Mayer
> Biodiversity refers to ________. a. genetic diversity b. species diversity c. ecosystem diversity d. all of the above
> A prominent chin is typical of ______. a. Homo sapiens b. Homo habilis c. Homo erectus d. Homo floresiensis
> The position where a spinal cord enters the skull provides evidence about whether a fossil species _________. a. was nocturnal b. was carnivorous c. walked upright d. all of the above
