Name: ____________________________________
Alg.2/H Regents Review #14 due 3/10
1. The graphs of the functions f(x) = |x − 3| + 1 and g(x) = 2x + 1
are drawn. Which statement about these functions is true?
1. The solution to f(x) = g(x) is 3.
2. The solution to f(x) = g(x) is 1.
3. The graphs intersect when y = 1.
4. The graphs intersect when x = 3.
2. Which statement about the graph of c(x) = log6 x is false?
1. 2. 3. 4. The asymptote has equation y = 0.
The graph has no y-intercept.
The domain is the set of positive reals.
The range is the set of all real numbers.
3. If log a = x and log b = y, then log (ab2 ) equals
1. 8. If log 3 = x and log 5 = y, express in terms of x and
y.
1. x + y
2. x − y
3. y − x
4. y + x
(x +y)
2. x +
y
3. x + 2y
4. 2x + 2y
4. If 1. 2. 3. 4. 7. The expression log 4m2 is equivalent to
1. 2(log 4 + log m) 3. log 4 + 2 log m
2. 2 log 4 + log m 4. log 16 + 2 log m
, then log T is equivalent to
(1 + 2log x) − log y
log(1 + 2x) − log y
(1 − 2log x) + log y
2(1 − log x) + log y
5. What is the inverse of the function f(x) = log4 x?
1. f −1(x) = x4
2. f −1(x) = 4x
3. f −1(x) = logx 4
4. f −1(x) = −log4 x
6. The equation loga x = y where x > 0 and a > 1 is equivalent to
1. xy = a
2. ya = x
3. a y = x
4. a x = y
9. What is the solution set for x in the logarithmic equation log4
(x + 5) + log4 x = log4 14?
1. {2, -7} 3. {-7}
2. {2} 4. {}
10. The equation y = 24000 (0.93)t represents the depreciation of
a new car purchased in 2003. Which of the following
explanations describes how the car’s value changes year after
year?
1. The value of the car depreciates by $1,680 each year.
2. The value of the car increases by 93% each year.
3. The value of the car decreases by 93% each year.
4. The value of the car decreases by 7% each year.