Question

11.
is the pictured graph growth, decay, or linear or none?
a) exponential growth
b) linear
c) none
d) exponential decay
12.
is this exponential growth or decay?
a) growth
b) decay

1. what is a, the starting term for the function: ( f(x) = 800(0.85)^x )?

a) 800
b) x
c) 0.85
d) 0.15
14.
what is the equation of the horizontal asymptote for following exponential function?
a) ( y > -4 )
b) ( y < -4 )
c) ( (0, -3) )
d) ( y = -4 )

Explanation:

Question 11

Step1: Recall Exponential Growth/Decay

Exponential growth graphs curve upward (increasing at an increasing rate), decay curves downward (decreasing at a decreasing rate), linear is straight. The graph here curves upward over time.

Step2: Identify the Type

The graph shows increasing with a curve, so it's exponential growth.

Step1: Recall Exponential Growth/Decay

Exponential growth: function increases over time; decay: function decreases over time. The graph here is decreasing (curving downward as x increases).

Step2: Classify the Graph

Since the graph is decreasing, it's exponential decay.

Step1: Recall Exponential Function Form

The general form of an exponential function is \( f(x) = a(b)^x \), where \( a \) is the initial (starting) value, \( b \) is the base.

Step2: Identify 'a' in \( f(x) = 800(0.85)^x \)

Here, \( a = 800 \), so the starting term is 800.

Answer:

a) Exponential Growth

Question 12