Algebra II

In which function is x = 2 mapped to 32?

The domain of f(x) is the set of all real values except 7, and the domain of g(x) is the set of all real values except -3. Which of the following describes the domain of (G*f)(x)

If h(x) = x - 7 and g(x) = x2, which expression is equivalent to (g*h)(5)? (5 - 7)2 (5)2 - 7 (5)2(5 - 7) (5 - 7)x2

If s(x) = x - 7 and t(x) = 4x2 - x + 3, which expression is equivalent to (t*s)(x)? 4(x - 7)2 - x - 7 + 3 4(x - 7)2 - (x - 7) + 3 (4x2 - x + 3) - 7 (4x2 - x + 3)(x - 7)

If f(x) = x2 + 1 and g(x) = x - 4, which value is equivalent to (f*g)(10)? 37 97 126 606

If g(x)=x+1/x-2 and h(x) = 4 - x, what is the value of (g*h)(-3)?

If m(x)=x+5/x-1 and n(x)=x-3, which function has the same domain as (m*n)(x)

If g(x)=2x and (f*g)(x)=3/x, what is f(x)

If (z*z)(x)=1/16x, what is z(x)

If h(x) = 5 + x and k(x)=1/x, which expression is equivalent to (k*h)(x)?

If f(x)=x-3/x and g(x)=5x-4, what is the domain of (f*g)(x)?

Which statement could be used to explain why the function h(x) = x3 has an inverse relation that is also a function? The graph of h(x) passes the vertical line test. The graph of the inverse of h(x) is a vertical line. The graph of the inverse of h(x) passes the horizontal line test. The graph of h(x) passes the horizontal line test.

If f(x) and g(x) are inverse functions of each other, which of the following shows the graph of f(g(x))?

If f(x) = 5x, what is f-1(x)?

If f(x) = 3x and g(x)=1/3x which expression could be used to verify that g(x) is the inverse of f(x)?

Which graph shows a function whose inverse is also a function?

Which function is the inverse of f(x) = 2x + 3?

Which function has an inverse that is also a function? {(-1, -2), (0, 4), (1, 3), (5, 14), (7, 4)} {(-1, 2), (0, 4), (1, 5), (5, 4), (7, 2)} {(-1, 3), (0, 4), (1, 14), (5, 6), (7, 2)} {(-1, 4), (0, 4), (1, 2), (5, 3), (7, 1)}

Which statement could be used to explain why f(x) = 2x - 3 has an inverse relation that is a function? The graph of f(x) passes the vertical line test. f(x) is a one-to-one function. The graph of the inverse of f(x) passes the horizontal line test. f(x) is not a function.

If f(x) and f-1(x) are inverse functions of each other and f(x)=2x+5 what is f-1(8)?

If f(x)=5x-25 and g(x)=1/5x+5

The axis of symmetry of a quadratic equation is x = -3. If one of the zeroes of the equation is 4, what is the other zero? -10 -7 -6 -4

What is the vertex and the equation of the axis of symmetry of the graph of Y=x^2-6x-7? vertex: (-16, 3) a.o.s: x = -16 vertex: (-3, 20) a.o.s: x = -3 vertex: (3,-16) a.o.s: x = 3 vertex: (20, -3) a.o.s: x = 20

What is the equation of the axis of symmetry of the graph of y=ax^2+bx+c

What is the vertex of the graph of y = x2 + 4x? (-2, -12) (-2, -8) (-2, -6) (-2, -4)

Which function is a quadratic function? h(t) = 12 - 8t + 6t3 g(t) = 7t2 + 3t3 + 2t k(t) = 3t4 + 3t2 + 4 h(t) = 12 - t + 6t2

What is the axis of symmetry for the graph of y - 4x = 7 - x2 ? x = 2 y = 2 x = 11 y = 11

The path of a football kicked by a field goal kicker can be modeled by the equation y = -0.04x2 + 1.56x, where x is the horizontal distance in yards and y is the corresponding height in yards. What is the approximate maximum height of the football? 15.21 yd 19.5 yd 38.94 yd 45.63 yd

The height of a baseball hit from a bat is modeled by a quadratic function of time, h(t). What does the second coordinate of the vertex of the quadratic function represent? the minimum height of the baseball the time at which the baseball hits the ground the time at which the baseball hits the maximum height the maximum height of the baseball

The function C(x) = 400x - 0.2x2 represents the total costs for a company to produce a product, where C is the total cost in dollars and x is the number of units sold. Which statement is true? One thousand units have the minimum cost of $200,000. One thousand units have the maximum cost of $200,000. Two thousand units have the minimum cost of $800,000. Two thousand units have the maximum cost of $800,000.

The cost, C, to produce b baseball bats per day is modeled by the function C(b) = 0.06b2 - 7.2b + 390. What number of bats should be produced to keep costs at a minimum? 27 bats 60 bats 174 bats 390 bats

A rectangular patio is 9 ft by 6 ft. When the length and width are increased by the same amount, the area becomes 88 sq ft. Ginger is using the zero product property to solve the equation (6 + x)(9 + x) = 88. What do her solutions represent? one possible length and one possible width two possible amounts for the widths two possible amounts for the lengths two possible amounts by which the dimensions were increased

The profit a company makes from producing x tabletops is modeled by the equation P(x) = 480x - 2x2. For what number of tabletops does the company make a profit of $0? 100 tabletops 120 tabletops 240 tabletops 480 tabletops

The square of 9 less than a number is 3 less than the number. What is the number? -12 or 7 -12 or -7 -7 or 12 7 or 12

The square of a number is 12 less than 7 times the number. What is the number? -4 or -3 -4 or 3 -3 or 4 3 or 4

What are the solutions to the equation (x - 6)(x + 8) = 0? x = -6 or x = 8 x = -6 or x = -8 x = 6 or x = -8 x = 6 or x = 8

Lisa is using the equation x2 + (x - 5)2 = 157 to find two numbers that differ by 5 and that have squares that sum to 157. When Lisa solves the problem using the zero product property, what do the two solutions represent? two numbers that differ by 5 and squares that have a sum of 157 one possible number is 5 less than the other number one possible number that can be used to find numbers that differ by 5 and squares that have a sum of 157 two possible numbers that can be used to find numbers that differ by 5 and squares that have a sum of 157

What are the solutions to the equation 3(x - 4)(x + 5) = 0? x = -4 or x = 5 x = 3, x = 4, or x = -5 x = 3, x = -4, or x = 5 x = 4 or x = -5

A rectangular deck is 12 ft by 14 ft. When the length and width are increased by the same amount, the area becomes 288 sq. ft. By how much were the dimensions increased? 2 ft 4 ft 8 ft 10 ft

The solutions to a quadratic equation are x = 2 and x = 7. If k is a nonzero constant, which of the following must be equal to the quadratic equation?

The solutions to the equation 2x^2+x-1=2 are x=-3/2 or

What is the solution set of the quadratic inequality 6x^2+1?0?

What are the solutions to the inequality (x-3)(x+5)?0

What is the solution set to the inequality (4x-3)(2x-1)?0?

An acorn falls from the branch of a tree to the ground 25 feet below. The distance, S, that the acorn is from the ground as it falls is represented by the equation S(t) = -16t2 + 25, where t is the number of seconds. For which interval of time is the acorn moving through the air?