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Midterm Exam

Lesson 2 Exam 1

Part 1 of 1 – 60.0/ 100.0 Points

Question 1 of 20 5.0/ 5.0 Points

Determine whether the relation is a function. {(-7, -7), (-7, -8), (-1, 4), (6, 5), (10, -1)}

A. Not a function

B. Function

Question 2 of 20 5.0/ 5.0 Points

Find the domain of the function.

g(x) =

A. (-∞, ∞)

B. (-∞, -9) (-9, 9) (9, ∞)

C. (81, ∞)

D. (-∞, 0) (0, ∞)

Question 3 of 20 5.0/ 5.0 Points

Graph the line whose equation is given.

y = x + 2

A.

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Sites MY WORKSPACE ALGEBRA I PART I, SECTION 2 ALGEBRA I PART II, SECTION 2

ALGEBRA II, PART 1 SECTION 4

PRE-CALCULUS PART I, SECTION 2 MORE SITES

A.

B.

C.

D.

Question 4 of 20 0.0/ 5.0 Points

Use the shape of the graph to name the function.

B. Standard cubic function

C. Square root function

D. Constant function

Question 5 of 20 5.0/ 5.0 Points

An open box is made from a square piece of sheet metal 19 inches on a side by cutting identical squares from the corners and turning up the sides. Express the volume of the box, V, as a function of the length of the side of the square cut from each corner, x.

A. V(x) = 361x

B. V(x) = (19 – 2x)2

C. V(x) = x(19 – 2x)

D. V(x) = x(19 – 2x)2

Question 6 of 20 5.0/ 5.0 Points

Use the graph of the function f, plotted with a solid line, to sketch the graph of the given function g.

g(x) =

A.

B.

C.

C.

D.

Question 7 of 20 0.0/ 5.0 Points

Find the domain of the function.

f(x) =

A. (-∞, 6) (6, ∞)

B. (-∞, ) ( , ∞)

C. (-∞, ]

D. (-∞, 6]

Question 8 of 20 5.0/ 5.0 Points

An investment is worth \$3518 in 1995. By 2000 it has grown to \$5553. Let y be the value of the investment in the year x, where x = 0 represents 1995. Write a linear equation that models the value of the investment in the year x.

A. y = -407x + 7588

B. y = x + 3518

C. y = -407x + 3518

D. y = 407x + 3518

Question 9 of 20 5.0/ 5.0 Points

Use the graph to determine the function’s domain and range.

A. domain: [0, ∞) range: [-1, ∞)

B. domain: (-∞, ∞) range: [-1, ∞)

C. domain: [0, ∞) range: [0, ∞)

D. domain: [0, ∞) range: (-∞, ∞)

Question 10 of 20 5.0/ 5.0 Points

Complete the square and write the equation in standard form. Then give the center and radius of the circle.

10×2 + 10y2 = 100

A. x2 + y2 = 100 (0, 0), r = 10

B. x2 + y2 = 10 (0, 0), r =

C. x2 + y2 = 10 (0, 0), r = 10

D. (x – 10)2 +(y – 10)2 = 10 (10, 10), r =

Question 11 of 20 0.0/ 5.0 Points

Graph the equation.

y = – x – 6

A.

B.

B.

C.

D. ’

Question 12 of 20 5.0/ 5.0 Points

Find the domain of the function.

f(x) = -2x + 4

A. (-∞, 0) (0, ∞)

B. (-∞, ∞)

C. [-4, ∞)

D. (0, ∞)

Question 13 of 20 0.0/ 5.0 Points

Graph the equation in the rectangular coordinate system.

3y = 15

3y = 15

A.

B.

C.

D.

D.

Question 14 of 20 0.0/ 5.0 Points

Use the given conditions to write an equation for the line in point-slope form.

Passing through (-5, -7) and (-8, -6)

A. y – 7 = – (x – 5) or y – 6 = – (x – 8)

B. y + 7 = – (x + 8) or y + 6 = – (x + 5)

C. y + 7 = – (x + 5) or y + 6 = – (x + 8)

D. y + 7 = – x – 5 or y + 6 = – x + 7

Question 15 of 20 5.0/ 5.0 Points

Does the graph represent a function that has an inverse function?

A. No

B. Yes

Question 16 of 20 0.0/ 5.0 Points

Use the graph of y = f(x) to graph the given function g.

g(x) = -2f(x). Where f(x) is the solid function and g(x) is the dotted.

A.

B.

C.

D.

Question 17 of 20 5.0/ 5.0 Points

Find the inverse of the one-to-one function.

f(x) =

A. f-1(x) =

B. f-1(x) =

C. f-1(x) =

D. f-1(x) =

Question 18 of 20 5.0/ 5.0 Points

Complete the square and write the equation in standard form. Then give the center and radius of the circle.

x2 + y2 – 10x – 8y + 29 = 0

A. (x – 5)2 +(y – 4)2 = 12 (5, 4), r = 12

B. (x – 5)2 +(y – 4)2 = 12 (-5, -4), r = 2

C. (x – 5)2 +(y – 4)2 = 12 (5, 4), r = 2

D. (x + 5)2 +(y + 4)2 = 12 (-5, -4), r = 2

Question 19 of 20 0.0/ 5.0 Points

Use the graph to determine the x- and y-intercepts.

A. x-intercept: -3; y-intercepts: 3, 1, 5

B. x-intercepts: -3, 1, -5; y-intercept: -3

C. x-intercepts: 3, 1, 5; y-intercept: -3

D. x-intercept: -3; y-intercepts: -3, 1, -5

Question 20 of 20 0.0/ 5.0 Points

Along with incomes, people’s charitable contributions have steadily increased over the past few years. The table below shows the average deduction for charitable contributions reported on individual income tax returns for the period 1993 to 1998. Find the average annual increase between 1995 and 1997.

A. \$270 per year

B. \$280 per year

C. \$335 per year

D. \$540 per year