AnswersAlgebraic ReasoningSquare Root and Absolute Value Functions

Square Root and Absolute Value Functions — Test Answers

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Which equation can be simplified to find the inverse of y is equal to 2 x squared ?

A
negative y is equal to 2 x squared
B
1 over y is equal to 2 x squared
C
x is equal to 2 y squared
D
y is equal to 1 half x squared
22
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Which function has a range limited to only negative numbers?

A
Image with description On a coordinate plane, the x and y axes range from negative 8 to 8 in increments of 2. A parabola opens up and passes through (negative 3 comma 1) and (negative 1 comma 1). Its vertex is at (negative 2 comma negative 3).
B
Image with description Coordinate plane with x-axis and y-axis. A decreasing curve begins at approximately negative 2 comma 1, crosses the x-axis near negative 1 comma 0, then continues downward while flattening as it moves to the right. The curve passes near 2 comma negative 1 and approaches 8 comma negative 2. An arrow on the right end indicates the graph continues indefinitely. The curve decreases throughout the visible domain, with the rate of decrease becoming smaller as x increases.
C
Image with description On a coordinate plane, the x-axis ranges from negative 8 to 8 by 2, and the y-axis ranges from negative 10 to 4 by 2. The graph has a draw-up in the shape of an inverted v with a vertex at (2 negative 1). One line passes through (0 comma negative 3) and extends infinitely into the third quadrant. The other line passes through (4 comma negative 3) and extends infinitely into the fourth quadrant.
D
Image with description Coordinate plane with x-axis and y-axis. A straight line with negative slope extends across the graph with arrows on both ends, indicating it continues indefinitely. The line passes through approximately negative 3 comma 0 and 0 comma negative 3, crossing the x-axis at negative 3 comma 0 and the y-axis at 0 comma negative 3. The graph decreases from left to right, moving from the upper-left quadrant to the lower-right quadrant.
23

The standard form of an absolute value function is f of x is equal to A start absolute value x minus h end absolute value plus k Which of the following represents the vertex?

A
open paren h comma k close paren
B
open paren negative h comma k close paren
C
open paren k comma h close paren
D
open paren negative k comma h close paren
24

Which of the following is the parent function of all absolute value functions?

A
f of x is equal to 3 x
B
f of x is equal to 2 absolute value of x
C
f of x is equal to absolute value of x
D
f of x is equal to x squared
25

The standard diameter of a golf ball is 42 point 6 7 mm. A golf ball factory does quality control on the balls it manufactures. Golf balls are randomly measured to ensure the correct size. One day, an inspector decides to stop production if the discrepancy in diameter is more than 0 point 0 0 2 mm. Which function could represent this situation?

A
f of x is equal to 42 point 6 7 minus absolute value of x
B
f of x is equal to start absolute value 42 point 6 7 minus x end absolute value
C
f of x is equal to x minus absolute value of 42 point 6 7
D
f of x is equal to absolute value of x minus 42 point 6 7

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