Algebra Questions

1.

To evaluate a function, we:

		Multiply f times the given number or expression
		Substitute its variable with a given number or expression
		Multiply the variable times the given number or expression
		All of the answers are correct

2.

To visually determine if a graph represents a function or not, we can use:

		Vertical Line Test
		Horizontal Line Test
		Domain and Range Test
		There is no way to determine from a graph.

3.

The table below describes a function.

 

 True

 False

4.

Evaluate the function ƒ(x) = 6x - 5 at ƒ(1)

		2
		1
		-1
		0

5.

What is the range of a function?

6.

Find all real values of x such that ƒ(x) = 0 for ƒ(x) = 42 - 6x

		7
		5
		9
		6
		8

7.

What is the domain of the function?

		The set of “x” values that will produce a “y” value
		The set of “y” values that will produce an “x” value
		All real numbers
		Impossible to be determined

8.

Find the zeroes of the function algebraically. Write the answer, if applicable, in fraction form. ƒ(x) = 2x2 - 3x – 20

9.

Find (ƒ+g)(x) for ƒ(x) = x+3, g(x) = x - 3

		2x
		3x
		-2x
		2x+6

10.

Find (ƒ-g)(x) for ƒ(x) = x + 6, g(x) = x - 6

		2x - 12
		12
		2x - 6
		2x + 12

11.

Find (ƒg)(x) for: 

		7x3 + 6x2
		7x3 - 6x2
		7x2 - 6x3
		7x2 + 6x3

12.

Find ƒ ∘ g for: 

		x2
		(x - 5)2
		(x + 5)2
		x2 - 5

13.

Select the correct description of right-hand and left-hand behavior of the graph of the polynomial function.

		Falls to the left, rises to the right.
		Falls to the left, falls to the right.
		Rises to the left, rises to the right.
		Rises to the left, falls to the right.
		Falls to the left.

14.

Describe the right-hand and the left-hand behavior of the graph of

		Because the degree is odd and the leading coefficient is positive, the graph falls to the left and rises to the right.
		Because the degree is odd and the leading coefficient is positive, the graph rises to the left and rises to the right.
		Because the degree is odd and the leading coefficient is positive, the graph falls to the left and falls to the right.
		Because the degree is odd and the leading coefficient is positive, the graph rises to the left and falls to the right.

15.

Using an online calculator, sketch the graph of the function to find the zeroes of the polynomial.

		0,2,3
		0,2,-3
		0,-2,3
		1,2,3

16.

Any non-zero number divided by zero is:

17.

Select the graph of the function and determine the zeros of the polynomial: f(x) = x2(x-6). Indicate which graph below is the correct one: 1st, 2nd, 3rd, or 4th. 

18.

The height, h(x), of a punted rugby ball is given by  where x is the horizontal distance in feet from the point where the ball is punted. How far, horizontally, is the ball from the kicker when it is at its highest point? (Hint: Examine the vertex of this quadratic function)

		28 feet
		13 feet
		18 feet
		23 feet

19.

The profit P (in hundreds of dollars) that a company makes depends on the amount x (in hundreds of dollars) the company spends on advertising according to the model. P(x) = 230 + 40x - 0.5x2 What expenditure for advertising will yield a maximum profit? (Hint: Examine the vertex of this quadratic function)

		40
		0.5
		230
		20

20.

The total revenue R earned per day (in dollars) from a pet-sitting service is given by R(p) = -10p2 + 130p where p is the price charged per pet (in dollars). Find the price that will yield a maximum revenue.

		$7.5
		$6.5
		$8.5
		$10.5

21.

A cab company charges a flat fee boarding rate in addition to a per mile rate. Using your own experience or some Internet research:

Write a function that represents a cab company’s rate taking into account the initial flat boarding rate and the per mile rate.

Based on the function you created, how much would it cost to go from your home to nearest grocery store in this cab?

Would you suspect that this function could be modeled by a linear, a quadratic function, or another type of function?