Identifying and Evaluating Exponential Functions

What is the basic form of an exponential function?

• y = a * b^x

• y = a * bx

• y = a / b^x

• y = a + bx

Why can't the base 'b' in an exponential function be 1?

• It would make the function undefined

• It would result in division by zero

• It would make the function linear

• It would nullify the variable x

What does it mean if consecutive y-values form a constant ratio?

• The function is linear

• The function is exponential

• The function is undefined

• The function is quadratic

In an exponential function, if x increases by 1 and y doubles, what is the base 'b'?

• 0.5

• 2

• 1

• 10

Which scenario describes a linear function?

• x increases by 1, y triples

• x increases by 1, y increases by 2

• x increases by 2, y doubles

• x decreases by 1, y halves

If y is multiplied by a constant factor as x increases by a constant amount, the function is:

• Undefined

• Quadratic

• Exponential

• Linear

What happens to the value of an exponential function when the exponent is zero?

• It becomes one

• It doubles

• It is undefined

• It becomes zero

How do you handle a negative exponent in an exponential function?

• Convert it to a positive by taking the reciprocal of the base

• Add the negative sign to the result after calculation

• Ignore the negative sign during calculation

• Multiply the base by -1

What is the result of an exponential function when the base is 2 and the exponent is -2?

• 0.25

• 4

• -4

• -0.25

How do you evaluate an exponential function at x = 3 when the function is y = 2 * 5^x?

• y = 300

• y = 350

• y = 250

• y = 150