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.

  1. f(-3) = -3
  2. f(-3) = 3
  3. f(-3) = 5
  4. f(-3) = 9
  5. f(-3) = 11

What is the domain of the function f(x) = -|2x - 3|?

  1. x =
  2. x > 0
  3. x 0
  4. x < 0
  5. x 0

What is the range of the function f(x) = -|2x - 3|?

  1. f(x) =
  2. f(x) > 0
  3. f(x) 0
  4. f(x) < 0
  5. f(x) 0

In the power function f(x) = -2x3, what is the end behavior of f(x) as x goes to ?

  1. f(x) -
  2. f(x) -2
  3. f(x) 0
  4. f(x) 2
  5. f(x)

In the exponential function f(x) = 3-x + 2, what is the end behavior of f(x) as x goes to ?

  1. f(x) -
  2. f(x) -2
  3. f(x) 0
  4. f(x) 2
  5. f(x)

In the power function f(x) = 3x2, what is the end behavior of f(x) as x goes to -?

  1. f(x)
  2. f(x) -5
  3. f(x) 0
  4. f(x) 5
  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. 1.7
  2. 2.7
  3. 3.6
  4. 4.0
  5. 6.6

What is the value of log2(16)?

  1. 2
  2. 3
  3. 4
  4. 8
  5. Does Not Exist.

What is the value of log3(-9)?

  1. -8
  2. -2
  3. 2
  4. 8
  5. Does Not Exist.

What is the value of log3(1/81)?

  1. 13
  2. 19
  3. -3
  4. -4
  5. 9

If f(x) = ln(x), what is the transformation that occurs if g(x) = ln(x - 3)?

  1. Shift 3 to the left.
  2. Shift 3 to the right.
  3. Shift 3 up.
  4. Shift 3 down.
  5. Cannot be determined.

If f(x) = log(x), what is the transformation that occurs if g(x) = 13log(x)?

  1. Compress by factor of 3.
  2. Shift 3 right.
  3. Stretch by factor of 3.
  4. Shift 3 down.
  5. Cannot be determined.

If f(x) = log3(x), what is the transformation that occurs if g(x) = -log3(x)?

  1. Reflect across the y-axis.
  2. Reflect across the x-axis.
  3. Reflect across the x- and y-axes.
  4. No change.
  5. Cannot be determined.

Expand log(2x/3y).

  1. 2log(x) - 3log(y)
  2. log(x2) - log(y3)
  3. 23log(xy)
  4. log(2x/3y)
  5. log(2x) - log(3y)

Condense 2ln(x + 3) - ln(x + 3) - ln(2) - 3.

  1. ln(x + 32) - 3
  2. ln(x + 35)
  3. ln(x + 36)
  4. ln(x + 3) - ln(6)
  5. 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. 1.4
  2. 2.8
  3. 3.4
  4. 4.1
  5. 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.)

  1. $6,121
  2. $6,325
  3. $6,655
  4. $6,750
  5. $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.)

  1. $6,228
  2. $6,417
  3. $6,652
  4. $6,741
  5. $6,880

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