Exam 1

8 September 2022
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24 test answers

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question
If f(x) =1/9-2 , what is f^-1(x)?
answer
f^-1(x)=1/9x+2
question
Which characteristic of a data set makes a linear regression model unreasonable?
answer
a correlation coefficient close to 0
question
If f(x) = 7 + 4x and g(x) =1/2x, what is the value of (f/g)(5)?
answer
270
question
The table shows how far a distance runner has traveled since the race began. What is her average speed, in miles per hour, during the interval 0.75 to 1.00 hours?
answer
5 mph
question
Which graph represents the same relation as the table below? (-2,5), (0,1), (1,-1), (2,-3)
answer
D
question
Given f(x)=17-x^2, what is the average rate of change in f(x) over the interval [1, 5]?
answer
-6
question
If f(x) and its inverse function,f^-1(x) , are both plotted on the same coordinate plane, where is their point of intersection?
answer
(2,2)
question
If u(x) = x5 - x4 + x2 and v(x) = -x2, which expression is equivalent to (u/v)(x)?
answer
-x^3+x^2-1
question
Which of the following is an odd function?
answer
f(x)=-X
question
Give f(x)=10-2x, find f(7).
answer
-4
question
Which graph represents an odd function?
answer
A
question
If h(x) is the inverse of f(x), what is the value of h(f(x))?
answer
f(x)
question
If f(x) =X+9 and g(x)=-6, which describes the value of (f+g)(x)?
answer
(f+g)(x)>_3 for all values of x
question
The cost, c, of a ham sandwich at a deli varies directly with the number of sandwiches, n. If c = $54 when n is 9, what is the cost of the sandwiches when n is 3?
answer
$18
question
If a(x) and b(x) are linear functions with one variable, which of the following expressions produces a quadratic function?
answer
(ab)(x)
question
Which of the following is an even function?
answer
g(x)=2x^2+1
question
To determine whether a graph of a relation is also a function, Shayla declares that the y-axis is a vertical line and counts the number of times that the graph intersects the y-axis. If the graph has exactly one y-intercept, Shayla concludes that the graph shows a function. In all other cases, she declares that it is not a function.
answer
No, because using the y-axis tests only whether x=0 is mapped to multiple values.
question
The scatterplot shows the distance (in feet) that a person was from a motion sensor during an experiment in math class. Use the labeled points to create a linear model. About what distance in feet (y) would a person be 8 seconds after the experiment begins?
answer
27 ft
question
If f(x) is an even function and (6, 8) is one the points on the graph of f(x), which reason explains why (-6, 8) must also be a point on the graph?
answer
Since the function is even,the outputs of a negative x-value and a positive x-value are the same
question
Which function has an inverse that is also a function?
answer
g(x)=2x-3
question
he value, V(m), of a comic book m months after publication has a average rate of change of -0.04 between m = 36 and m = 60. Which statement must be true?
answer
The value of the comic book decreased by an average of$0.04 each month between m=36 and m=60
question
Which scatterplot has a correlation coefficient closest to r = -1?
answer
D
question
Given f(x)=3x-1 and g(x)=2x-3, for which value of x does g(x)=f(2)?
answer
x=4
question
The graphs of f(x) and g(x) are shown below. For what interval is the value of (f - g)(x) negative?
answer
(-00,2)