Unit 4 Part 1 Review

Which of the following is NOT an exponential function?

Answer explanation

Exponential functions MUST have a variable in the exponent!

• (0, -9)

• (0, -4)

• (0, -1)

• (0, 3)

Answer explanation

The initial value should be -4, but this function is translated down 5 spaces. So, 5 spaces down from -4 is -9.

Tags

CCSS.HSF.LE.B.5

• -4

• 3

• -5

• x

Answer explanation

The growth factor is the number that has a variable exponent attached. It tells us the pattern that this function is constantly multiplying or dividing its y-values by for every one unit increase for x.

Tags

CCSS.HSF-IF.C.8B

• x = -4

• y = -9

• y = -5

• x = 3

Answer explanation

Horizontal lines always go through the y-axis (so your horizontal asymptote must always start with y =). The number that is added or subtracted at the end tells us the location of the horizontal asymptote.

Tags

CCSS.HSF-IF.C.7D

• y > 5

• y > -5

• y < -5

• y < -4

Answer explanation

Because the initial value has a negative, this graph must be flipped. That means that the y-values will quickly go downward as x-values get bigger. Because the boundary of the function is its horizontal asymptote, the range must be y < -5.

• No solution

• y = 0

• y = 5

• y = 1

Answer explanation

Because nothing is being added or subtracted at the end of the function, that would be the same as adding or subtracting a zero. Therefore, the horizontal asymptote is at y = 0

Tags

CCSS.HSF-IF.C.7E

• (0, 0)

• (0, 1)

• (0, 6)

• No solution

Answer explanation

Because nothing is being multiplied or divided at the beginning of the function, it is equivalent to multiplying or dividing by 1. Therefore, the initial value is at (0, 1). This is also because there is no translation of this function as well.

Tags

CCSS.HSF.LE.B.5

There are currently 175 high school boys volleyball teams in the state of New Jersey. Each year, the number of teams increases by 3%. How many high school boys volleyballs teams should we expect there to be in the state of New Jersey in 2026?

ROUND YOUR ANSWER TO THE NEAREST WHOLE NUMBER. JUST TYPE THE NUMBER AND NOTHING ELSE!

Tags

CCSS.HSF-LE.A.1C

You deposit $8000 in a bank account that has a 2.9% interest rate. How much money will be in your account after 3 years if no other deposits are made and interest is compounded daily?

ROUND YOUR ANSWER TO THE NEAREST CENT! PUT A DOLLAR SIGN AND COMMAS!

There are 500 toys in a toy store. Each day, the store sells 11% of its toys. Approximately how many days will it take for the store to only have 150 toys left?

ROUND YOUR ANSWER TO THE NEAREST WHOLE NUMBER! JUST WRITE THE NUMBER AND NOTHING ELSE