Mid Semester Algebra 1: Nonlinear and Exponential Functions

In an exponential function, what does the 'a' represent? 

• SLOPE
• RATE OF CHANGE
• Y-INTERCEPT
• COMMON RATIO

What is a, the starting term, for the function: f(x) = 300(1.16)^x?

• 300
• 1.16
• .16
• x

Which of the following functions shows an initial amount of $15 and an increase of 35% each year?

• y = 15(35)^x
• y = 15(1.35)^x
• y = 15(0.35)^x
• y = 35(1.15)^x

Suppose a culture of bacteria begins with 5000 cells and dies by 30% each year. Write an equation that represents this situation.

• y=5000(0.7)^x
• y=30(5000)^x
• y=5000(1.3)^x
• y=5000x^x

Simplify the exponential expression:

• 10x^-2
• 2x²
• 2x¹²
• 10x¹²

Simplify the following exponential expression:
(3x⁴)(5x³)

• 15x¹²
• 8x⁷
• 8x¹²
• 15x⁷

Simplify the exponential expression.

• 2x⁶y¹²
• 2x⁵y⁷
• 8x⁶y¹²
• 8x⁵y⁷

Write an equation that models the following situation:
Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week.

• y=6(0.14)^x
• y=6(1+14)^x
• y=6(1.14)^x
• y=6(0.86)^x

Write in exponential form

∜(3x)³

• 3x^{³⁄ ⁴}

• (3x)^{³∕ ⁴}

• (3x)^{⁴⁄ ³}

• 3x^{⁴⁄ ³}

• 4/3x³

Simplify:

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