FREE SATs Math Questions and Answers

Question 1

Is there a function in this relation?

Accepted Answer

yes

Answer

A relation is considered a function if and only if every input (x-value) corresponds to exactly one output (y-value). If the provided relation (which is missing from the prompt but implied by the question) adheres to this rule, meaning no x-value is paired with more than one distinct y-value, then it represents a function. The "yes" answer indicates that, whatever the specific relation was, it satisfied this fundamental condition for a function.

Question 2

Is there a function in this relation?

Accepted Answer

yes

Answer

For a relation to be a function, each input value (typically represented by 'x') must be associated with only one output value (typically 'y'). If the given relation (which is not explicitly shown in the prompt) ensures that no single input maps to multiple different outputs, then it correctly defines a function. The answer "yes" confirms that the relation in question meets this criterion.

Question 3

What is the effect on the graph of f(x) of the transformation f(x)→f(4x)?

Accepted Answer

reduces its horizontal size

Answer

The transformation f(x)→f(4x) involves a change to the input variable, x. When the input x is multiplied by a factor greater than 1 (like 4), the graph undergoes a horizontal compression. This means the graph is squeezed towards the y-axis, effectively reducing its horizontal size by a factor of 1/4.

Question 4

Is there a function in this relation?

Accepted Answer

yes

Answer

A relation is considered a function if every input value (x-value) corresponds to exactly one output value (y-value). This means that for any given x, there should not be two or more different y-values associated with it. Since the correct answer is 'yes', the unspecified relation must adhere to this rule, ensuring each input has a unique output.

Question 5

Which quadrant, in standard position, contains the terminal side of a 315° angle?

Accepted Answer

Quadrant IV

Answer

In standard position, angles are measured counterclockwise from the positive x-axis. Quadrant I spans 0° to 90°, Quadrant II 90° to 180°, Quadrant III 180° to 270°, and Quadrant IV 270° to 360°. A 315° angle falls between 270° and 360°, placing its terminal side in Quadrant IV.

SATs (Standard Assessment Test) Practice Test

SATs (Standard Assessment Test) Practice Test

FREE SATs Math Questions and Answers