Comparing values of functions

12/11/2017

The figure shows a graph of the function of f(x) in the xy-coordinate plane,
with the vertex at (1,9) and the zeros at -2 and 4.

The function g is defined by g(x) = -3x + 2
Which statements are true? Select all that apply.
A.) f(-2) is greater than g(-2)
B.) f(-1) is greater than g(-1)
C.) f(0) is greater than g(0)
D.) f(1) is greater than g(1)
E.) f(2) is greater than g(2)

Function intervals of increasing or decreasing

12/10/2017

Use the information provided to answer Part A and Part B.

The function f(x) = 4x - x² is graphed in the x-y coordinate plane as shown.

Part A
Based on the graph of the function, which statements are true? Select all that apply.
A.) f is increasing on the interval x < 0
B.) f is decreasing on the interval x < 0
C.) f is increasing on the interval 0 < x < 2
D.) f is decreasing on the interval 0 < x < 2
E.) f is increasing on the interval 2 < x < 4
F.) f is decreasing on the interval 2 < x < 4
G.) f is increasing on the interval x > 4
H.) f is decreasing on the interval x > 4

Part B
Based on the graph of the function, which statements are true? Select all that apply.
A.) f(x) < 0 on the interval x < 0
B.) f(x) > 0 on the interval x < 0
C.) f(x) < 0 on the interval 0 < x < 2
D.) f(x) > 0 on the interval 0 < x < 2
E.) f(x) < 0 on the interval 2 < x < 4
F.) f(x) > 0 on the interval 2 < x < 4
G.) f(x) < 0 on the interval x > 4
H.) f(x ) > 0 on the interval x > 4

Write the function rule

12/6/2017

The cost to manufacture x pairs of sunglasses can be represented by a function, C(x). If it costs $398 to
manufacture 4 pairs of sunglasses, which of the following is true?
Select the correct equation.
A.) C(4) = 99.50
B.) C(398) = 4
C.) C(4) = 398
D.) C(99.50) = 1

Quadratic equation: factored and in vertex form

12/5/2017

Consider the function f(x) = 2x² + 6x - 8

Part A.
What is the vertex form of f(x)?
A.) f(x) = 2(x - 3)² - 4
B.) f(x) = 2(x + 3)² + 4
C.) f(x) = 2(x - 1.5)² - 12.5
D.) f(x) = 2(x + 1.5)² - 12.5

Part B.
What is the factored form of f(x)?
A.) f(x) = (2x + 1)(x - 8)
B.) f(x) = (2x - 1)(x + 8)
C.) f(x) = 2(x + 4)(x - 1)
D.) f(x) = 2(x - 4)(x + 1)

Find the points that lie on the graph of the equation

12/4/2017

Which points lie on the graph of the equation -3x + 6y + 5 = -7 ?
A.) (-3,6)
B.) (-2,0)
C.) (0,-2)
D.) (6,-3)
E.) (8,2)

A function and its domain

12/2/2017

Which graph represents a function whose domain is the set of non-negative real numbers?

Simplify the expression

12/2/2017

An equation is shown.
(2x - 3) + [4x(3x + 2)]
Which expression is equivalent to the given expression?
A,.) 9x - 1
B.) 14x + 5
C.) 12x² + 2x - 1
D.) 12x² + 10x - 3

Create an equation

12/1/2017

Stephanie adds pennies, nickels, and quarters to a scale until the mass of the combined coins is 75 grams. Each penny has a mass of 2.5 grams, each nickel has a mass of 5 grams, and each quarter has a mass of 5.7 grams.

Create an equation to model this situation, where x is the number of pennies, y is the number of nickels, and z is the number of quarters that Stephanie can put on the scale so that the mass of the combined coins is exactly 75 grams.

ALGEBRA 1 STATE TEST PRACTICE