Brenda collected this data from an experiment.
2 answers:
You might be interested in
See below for the changes when the exponential function is transformed
<h3>How to determine the effect of a</h3>The exponential functions are given as:
An exponential function of the above form is represented as:
See attachment for the graph of the four functions.
<u>When a is large</u>
This is represented by
In this case, the curve of the base form is vertically stretched and it moves closer to the y-axis
<u>When a is small</u>
This is represented by
In this case, the curve of the base form is vertically stretched and it moves away from the x-axis
<u>When a is negative</u>
This is represented by
In this case, the curve of the base form is vertically stretched and is reflected across the y-axis.
Read more about function transformation at:
#SPJ1
Answer:
they're all like terms so we just add and subtract
The maxima of f(x) occur at its critical points, where f '(x) is zero or undefined. We're given f '(x) is continuous, so we only care about the first case. Looking at the plot, we see that f '(x) = 0 when x = -4, x = 0, and x = 5.
Notice that f '(x) ≥ 0 for all x in the interval [0, 5]. This means f(x) is strictly increasing, and so the absolute maximum of f(x) over [0, 5] occurs at x = 5.
By the fundamental theorem of calculus,
The definite integral corresponds to the area of a trapezoid with height 2 and "bases" of length 5 and 2, so