CAASP Review Functions Part 1

Answer explanation

The y-intercept of 4 is the value of c so c>0.

Since the function is quadratic, its graph forms a parabola. The parabola opens downward whenever a is negative so a < 0.

Tags

CCSS.HSF-IF.C.7A

• the domain is all real numbers greater than 0 & the range is all real numbers

• the domain is all real numbers greater than 0 & the range is all real numbers greater than 0

• the domain is all real numbers & the range is all real numbers greater than 0

• the domain is all real numbers less than 4 & the range is all real numbers greater than 0

Tags

CCSS.HSF-IF.C.7E

• 5

• 2

• -2

• -5

Tags

CCSS.HSF-LE.A.1B

• b, c, e

• a, c, d

• a, b

• b, e

Answer explanation

a) is false because the function could have exponential decay.

b) is true because that is the definition of an exponential function.

c) is true, due to the definition of an inverse function.

d) is false. Negative numbers are not allowed as bases like (-2)^x

e) is true. Negative exponents don't produce negative numbers, so they aren't a problem.

Tags

CCSS.HSF-IF.C.7E

Which piecewise function below matches the attached graph?

• 
• 
• 
• 

Tags

CCSS.HSF-IF.C.7B

• Period = 45 min.

  Amplitude = 2.0 m.

• Period = 15 min.

  Amplitude = 0.15 m.

• Period = 30 min.

  Amplitude = 0.30 m.

• Period = 60 min.

  Amplitude = 0.15 m.

Answer explanation

The minute hand makes one complete circle in 60 minutes so the cosine graph will make one complete cycle in 60 minutes as well.

The maximum vertical distance the tip of the hand moves is 0.30 m. so the amplitude will be half of that which is 0.15m.

• all real numbers except -3, -1, 0, and 3

• all real numbers except 0 and -1

• all real numbers except -3 and 3

• all real numbers except -3, 0, and 3

Tags

CCSS.HSF-IF.C.7D

• a, c

• none

• c

• a, b

Answer explanation

Table b does not define a function because one input (9) produces outputs (3 and 5)

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

• b, c, d

• b, c

• b, d

• a, b, c

Answer explanation

If you substitute 5 for x in each function, you will get

a = 10

b = 7

c = 7

d = 7

Tags

CCSS.HSF.IF.A.2

Tags

CCSS.HSF-BF.A.1C