Name: Date: GRAPIs OF LOGARITHMS COMMON CORE ALGEBRA II HOMEWORK FLUENCY 1. The

Question

Name: Date: GRAPIs OF LOGARITHMS COMMON CORE ALGEBRA II HOMEWORK FLUENCY 1. The domain of y log, (x+5) in the real mumbers is folowu 2. Which of the following equations describes the graph st (9y own below? (1) y=log, x (3) y=log, x (2) y=log2 x (4) y = log. x 3. Which of the following represents the y intercept of the function y- log,(32-x)-17 (3)-1 (2)-4 (4)4 4. Which of the following values of x is not in the domain of f(x)- log,(10-2x)? (3) 5 (2) 0 (4) 4 5. Which of the following is true about the function y log, (+16)-1? (1) It has an x-intercept of 4 and a y-intercept of -1 (2) It has r-intercept of -12 and a y-intercept of 1. (3) It has an x-intercept of-16 and a y-intercept of 1. (4) It has an r-intercept of -16 and a y-intercept of -1. eMATHINSTRUCTION, RED HOOK, NY 12571, © 2015 147 COMMON CORE ALGEBRA II, UNIT 4-EXPONENTIAL AND LOGARITHIMIC FUNCTIONS-LESSON

Explanation / Answer

1) option 2 is correct

domain is those value of x , for which y exist

y=log(x+5) ,

log ( ) exist if term (x+5) >0 i.e x>-5

2) option (4) is right

from graph y=1 if x=4

possible only when log44=1 i.e y=log4 x

3) option (4) is right

for y intercept put x=0

y=log232 -1 = log2 25 -1 = 5log2 2-1=5-1=4

4) option (3) is correct

for domain y should exist

i.e log ( ) exist

i.e 10-2x > 0

i.e 10>2x

i.e 5> x

i.e x<5

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