Question: i need help with these questions Solve the function f(x) = |2x + 3| when x = -3. f(-3) = -3 f(-3) = 3 f(-3)
i need help with these questions
Solve the function f(x) = |2x + 3| when x = -3.
- f(-3) = -3
- f(-3) = 3
- f(-3) = 5
- f(-3) = 9
- f(-3) = 11
What is the domain of the function f(x) = -|2x - 3|?
- x =
- x > 0
- x 0
- x < 0
- x 0
What is the range of the function f(x) = -|2x - 3|?
- f(x) =
- f(x) > 0
- f(x) 0
- f(x) < 0
- f(x) 0
In the power function f(x) = -2x3, what is the end behavior of f(x) as x goes to ?
- f(x) -
- f(x) -2
- f(x) 0
- f(x) 2
- f(x)
In the exponential function f(x) = 3-x + 2, what is the end behavior of f(x) as x goes to ?
- f(x) -
- f(x) -2
- f(x) 0
- f(x) 2
- f(x)
In the power function f(x) = 3x2, what is the end behavior of f(x) as x goes to -?
- f(x)
- f(x) -5
- f(x) 0
- f(x) 5
- f(x) -
If algae grows at a rate that can be modeled by the exponential function A(t) = aert, what is the surface area of algae on a pond if the initial area of the algae is 2 square meters, the growth rate is 10%, and the algae grows for three days? (Use 2.718 for the value of e.)
- 1.7
- 2.7
- 3.6
- 4.0
- 6.6
What is the value of log2(16)?
- 2
- 3
- 4
- 8
- Does Not Exist.
What is the value of log3(-9)?
- -8
- -2
- 2
- 8
- Does Not Exist.
What is the value of log3(1/81)?
- 13
- 19
- -3
- -4
- 9
If f(x) = ln(x), what is the transformation that occurs if g(x) = ln(x - 3)?
- Shift 3 to the left.
- Shift 3 to the right.
- Shift 3 up.
- Shift 3 down.
- Cannot be determined.
If f(x) = log(x), what is the transformation that occurs if g(x) = 13log(x)?
- Compress by factor of 3.
- Shift 3 right.
- Stretch by factor of 3.
- Shift 3 down.
- Cannot be determined.
If f(x) = log3(x), what is the transformation that occurs if g(x) = -log3(x)?
- Reflect across the y-axis.
- Reflect across the x-axis.
- Reflect across the x- and y-axes.
- No change.
- Cannot be determined.
Expand log(2x/3y).
- 2log(x) - 3log(y)
- log(x2) - log(y3)
- 23log(xy)
- log(2x/3y)
- log(2x) - log(3y)
Condense 2ln(x + 3) - ln(x + 3) - ln(2) - 3.
- ln(x + 32) - 3
- ln(x + 35)
- ln(x + 36)
- ln(x + 3) - ln(6)
- ln(x + 3) - ln(5)
Using the product rule, power rule and the change-of-base formula, simplify the expression log3(90). (Note log(10)log(3) 2.1.)
- 1.4
- 2.8
- 3.4
- 4.1
- 5.4
If the interest rate on a $5,000 loan is 10%, what is the total amount due (principal and compound interest) at the end of the loan if the interest compounds annually for 3 years? (Round your answer to the nearest dollar.)
- $6,121
- $6,325
- $6,655
- $6,750
- $7,840
If the interest rate on a $5,000 loan is 10%, what is the total amount due (principal and compound interest) at the end of the loan if the interest compounds monthly for 3 years? (Round your answer to the nearest dollar.)
- $6,228
- $6,417
- $6,652
- $6,741
- $6,880
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