Marthh

A. Exponential equations are equations which variables occur as exponents. B. If the bases are the same, then the exponents must be equal.

• A is true while B is false

• A is false while B is true

• Both are false

• Both are true

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In graphing the exponential function, the lines meet at some points.

• TRUE

• FALSE

Answer explanation

Exponential function doesn't have an intercept, meaning they do not meet at any point.

What are the properties of Exponential functions?

• It is not one-many function

• The range is the set of all positive real numbers

• The function is increasing if b>1

• The function is decreasing if 0<b<1.

• The domain is the set of all real numbers

  While the range is the set of all positive real numbers.

Answer explanation

Exponential function is a one-to-one function (It satisfies the Horizontal Line Test)

Choose the examples of exponential function.

• f(x) = x^3

• f(x) = x^x

• f(x) = 3^3x+1

• f(x) = 16^x

Answer explanation

The 2 are example of polynomial function

Which of the following statements are true?

• When the base is less than 1, the direction of the inequality is reversed. It is retained if the base is greater than 0.

• If the same real number is added to or subtracted from both sides of an inequality, the sense of the inequality is changed.

• If both sides of the inequality are multiplied by or divided by the same positive real number, the sense of the inequality is not changed.

• If both sides of an inequality are multiplied by or divided by the same negative real number, the sense of the inequality is changed.

Answer explanation

If the same real number is added to or subtracted from both sides of an inequality, the sense of the inequality is not changed.

Logarithmic equation is the _______ of exponential equation. (ALL CAPS)

Which of the following are true about logarithmic equation?

• The powers should not be negative. If the power of the logarithmic is negative, it is undefined (cannot be graphed)

• If the M or N is negative, it is not part of the solution

• A negative value in x is not valid.

• The logarithmic equation must always be in exponential form because it can’t be solved in logarithmic form.

Answer explanation

A negative value in x is valid.

Which of the ff. is the anatomy of logarithmic equation?

• B^e = P

• B P E

• B^p= e

• B E P

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