Algebra 1 Unit Test 5 Edge 76%

The function f(x) is to be graphed on a coordinate plane. f(x) ={-x, x<0 {1, x > or = to 0 At what point should an open circle be drawn? (-1, 0) (0, 0) (0, 1) (1, 0)

(0, 0)

A hotel offers a reward program based on the number of nights stayed. The function f(x) represents the number of free nights earned as a function of x, the number of nights stayed. f(x) = [x/10] Which describes the meaning of f(x)? 1. A customer earns 1 free night per 10 nights stayed. 2. A customer starts with 1 free night and then earns another free night after every 10 nights stayed. 3. A customer earns x - 10 free nights for every 10 nights stayed. 4. A customer earns 10 free nights after x number of nights stayed.

1. A customer earns 1 free night per 10 nights stayed.

Which value can fill in the blank in the function f(x) = ____|x| to make its graph wider than that of the parent function, f(x) = |x|? -1 1/4 1 4

1/4

What is the simplified form of StartRoot 10,000 x Superscript 64 Baseline EndRoot? 5000x32 5000x8 100x8 100x32

100x32

The solid graph is a translation of RootIndex 3 StartRoot x EndRoot. How was the graph of RootIndex 3 StartRoot x EndRoot shifted to form the translation? 2 units up 2 units down 2 units left 2 units right

2 units up

Which statement is true of the function f(x) = Negative RootIndex 3 StartRoot x EndRoot? Select three options. 1. The function is always increasing. 2. The function has a domain of all real numbers. 3. The function has a range of {y|- < y < }. 4. The function is a reflection of y = . 5. The function passes through the point (3, -27).

2. The function has a domain of all real numbers. 3. The function has a range of {y|- < y < }. 4. The function is a reflection of y = .

What is the simplified form of StartRoot 400 x Superscript 100 Baseline EndRoot ? 200x10 200x50 20x10 20x50

20x50

The factor tree for 3,025 is shown. What is the simplest form of 3,025 ? 16 55 52(112) 52+(112)

52(112)

The step function f(x) is graphed. What is the value of f(1)? 0 1 2 4

A

Which represents the reflection of f(x) = StartRoot x EndRoot. over the y-axis?

A

The graph of the cube root parent function y =∛ x is translated to form f(x) shown on the graph. Which equation represents f(x)? A. f(x)=∛x+6+1 B. f(x)=∛x-6+1 C. f(x)=∛x+6-1 D. f(x)=∛x-6-1

A. f(x)=∛x+6+1

Which graph represents the function f(x) = 4|x|?

B.

If f(x) = [x] − 5, what is f(8.6)? A. 3 B. 4 C. 8 D. 9

B. 4

Which describes how to graph g (x) = RootIndex 3 StartRoot x minus 5 EndRoot + 7 by transforming the parent function? A. Translate the parent function 5 units to the left and 7 units up. B. Translate the parent function 5 units to the right and 7 units up. C. Translate the parent function 5 units down and 7 units to the right. C. Translate the parent function 5 units up and 7 units to the right.

C.

Which graph represents the function f(x) = |x| - 4?

C. on a coordinate plan x= -4 right side y = 4 left side y = -4

Which graph represents the function p(x) = |x - 1|?

Graph D

Which could be the graph of f(x) = |x - h| + k if h and k are both positive?

Graph b

What is the range of the function f(x) = 3/4 |x| - 3? all real numbers all real numbers less than or equal to 3 all real numbers less than or equal to -3 all real numbers greater than or equal to -3

all real numbers greater than or equal to -3

Which function is represented by the graph? f(x) = −2|x| + 1 f(x) = -1/2|x| + 1 f(x) = -2|x + 1| f(x) = -1/2|x + 1|

f(x) = -1/2|x + 1|

The graph of a function is shown. Which function is represented by the graph? f(x) = { x - 3, x < 0 { 3, x > or = to 0 f(x) = { x + 3, x < 0 { 3, x > or = to 0 f(x) = { -x + 3, x < 0 { 3, x > or = to 0 f(x) = { -x - 3, x < 0 { 3, x > or = to 0

f(x) = { x + 3, x < 0 { 3, x > or = to 0

Which equation represents the function graphed on the coordinate plane? g(x) = |x - 4| - 10 g(x) = |x + 4| - 10 g(x) = |x - 10| + 4 g(x) = |x + 10| - 4

g(x) = |x + 4| - 10

Which equation represents the function graphed on the coordinate plane? g(x) = |x + 1| + 3 g(x) = |x + 3| - 1 g(x) = |x - 1| + 3 g(x) = |x + 3| + 1

g(x) = |x - 1| + 3

A function, h(x), is defined as shown. {1/4X - 4, X < or = to 0 h(x) = {1/3x - 3, 0 < x < or = to 3 {1/2x - 2, x > or = to 4 Which graph represents h(x)?

graph B

A piecewise function is represented by the graph below. On a coordinate plane, a piecewise function has 2 lines. The first line is made up of 2 lines. One line goes from (negative 5, 3) to (negative 1, negative 1) and then goes up to a closed circle at (1, 1). The second line has an open circle at (1, 2) and then continues up through (3, 4). What is the domain for the piece of the function represented by f(x) = x + 1? x < -1 -1 ≤ x ≤ 1 1 ≤ x < 2 x > 1

x < 1

The graph of the step function g(x) = -⌊x⌋ + 3 is shown What is the domain of g(x)? {x| x is a real number} {x| x is an integer} {x| -2 ≤ x < 5} {x| -1 ≤ x ≤ 5}

{x| -2 ≤ x < 5}