Exponential function: f(x) = 5 ∗
1 answer:
Answer:
See below.
(I only answered the first one b/c the second log function doesn't really make sense, sorry!)
Step-by-step explanation:
1. f(x) = 5 ×
Plug in 5 points.
x = -2, f(x) =
x = -1, f(x) =
x = 0, f(x) = 5
x = 1, f(x) = 15
x = 2, f(x) = 45
2. Attached below.
3. Increasing
4. Domain: x = all real numbers
Range: f(x) > 0 (because the line never goes below the x-axis)
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Answer:
Step-by-step explanation:
Look at the component form of each vector.
Note that vector c is <4,4> and vector d is <-2,-2>
If one imagined the line that contained each vector, the line for both would have a slope of 1, because
Since they have the same slope they are parallel, but since they are in opposite directions, we often call them "anti-parallel" (simply meaning parallel, but in opposite directions).
If two vectors are parallel, one vector can be multiplied by a scalar to result in the other vector. This means that there is some number "k", such that , or equivalently,
and
.
If and
, we just need to substitute known values and solve for k:
Double checking that k works for the y-coordinates as well:
?
So,