FREE SATs Math Questions and Answers
What is the effect on the graph of f(x) of the transformation f(x)→f(4x)?
The form of the transformation f(x)→f(4x) is f(x)→f(ax), where a=4. Since 4>1, it causes the f(x) graph to shrink horizontally.
Is there a function in this relation?
Every x-value has exactly one y-value linked with it if drawing a vertical line that crosses the graph more than once is not possible. The relation is therefore a function.
Which quadrant, in standard position, contains the terminal side of a 315° angle?
The rotation is 315° counterclockwise because the angle measure is positive.
Turn the ray 315 degrees counter-clockwise such that the terminal side is in Quadrant IV.
The terminal side of a 690° angle in standard position lies in which quadrant?
Since the angle measure is positive, 690° counterclockwise rotation is achieved.
Which quadrant, in standard position, corresponds to the terminal side of a 150° angle?
Is there a function in this relation?
Which quadrant, in standard position, corresponds to the terminal side of a 225° angle?
The rotation is 225° counterclockwise because the angle measure is positive.
Turn the ray 225 degrees counter-clockwise such that the terminal side is in Quadrant III.
Is there a function in this relation?
The connection is a function since it is impossible to create a vertical line that crosses the graph more than once.
Which quadrant, in standard position, contains the terminal side of a 45° angle?
The rotation is 45° counterclockwise because the angle measure is positive.
Turn the ray 45 degrees counterclockwise so that the terminal side is in Quadrant I.
Which quadrant, in standard position, contains the terminal side of a 135° angle?
The rotation is 135° counterclockwise because the angle measure is positive.
Turn the ray 135 degrees counter-clockwise such that the terminal side is in Quadrant II.
The terminal side of a 480° angle in standard position lies in which quadrant?
The rotation is 480° counterclockwise because the angle measure is positive.
To begin, visualize a ray along the positive x-axis and rotate it 360° anticlockwise. Since 360° is a complete revolution, the ray is returned to its original position at the positive x-axis after this rotation.
Proceed to rotate the ray in an anticlockwise direction by another 120°, positioning the terminal side in Quadrant II.