Quiz 3.1_3.3 Precalc. Review

The PERIOD of a function is _______________________.

• how long one cycle is before the function repeats

• how high and low the function goes from the center line

• the range of the function

• the horizontal line splitting a graph in half

Answer explanation

That is the definition of period!

Tags

CCSS.HSF.TF.A.4

What is the period of the Ferris wheel?

• 4

• 6

• 8

• 16

Answer explanation

The ferris wheel starts at its low point (0 sec), reaches its high point (4 sec), then returns to low point (8 sec).

What will a person on this Ferris wheel be doing 67 seconds into their ride?

• Increasing at an increasing rate.

• Increasing at a decreasing rate.

• Decreasing at a decreasing rate.

• Decreasing at an increasing rate.

Answer explanation

Every 8 seconds is a cycle. So, at 64 seconds, the Ferris wheel starts a new cycle. The rider reaches their highest at 68 seconds. So, at 67 seconds, the graph is increasing and concave down (decreasing rate).

At 100 seconds into the ride, will the rider be at the highest point (rel. max), lowest point (relative min), or neither?

• Highest

• Lowest

• Neither

Answer explanation

At 96 seconds (divisible by 8), a new cycle starts. Four seconds later, the rider is at their highest.

Set up an equation that could be used to solve for the variable.

• 
• 
• 
• 

Answer explanation

10.8 is opposite of 57 degrees and x is the hypotenuse. There, Soh should be used,

sin 57 = 10.8/x

Tags

CCSS.HSG.SRT.C.6

Set up an equation that could be used to solve for the variable.

• 
• 
• 
• 

Answer explanation

Soh, Cah, Toa. X is the adjacent side and 11 is the hypotenuse, so cos (60) = x/11

Tags

CCSS.HSG.SRT.C.8

What is the length of u and v in this 30-60-90 triangle?

• u = 8 v = 4√3
• u = 4√2 v = 8
• u = 16 v = 8
• u = 4√3 v = 8

Answer explanation

Tags

CCSS.HSG.CO.C.10

Find the missing side lengths.

• a = 4, b = 4
• a = 4, b = 2√2
• a = 2√2,  b = 4
• a = 4, b = 4

Answer explanation

Tags

CCSS.HSG.SRT.C.8

Find a.

• 3

• 6

Answer explanation

Tags

CCSS.HSG.SRT.C.8

Find missing side. Simplify your answer.

Answer explanation

Tags

CCSS.8.G.B.7