Exam 1

Given f(x)=17-x^2, what is the average rate of change in f(x) over the interval [1, 5]?

-6

Which characteristic of a data set makes a linear regression model unreasonable?

a correlation coefficient close to 0

If h(x) is the inverse of f(x), what is the value of h(f(x))?

f(x)

Which of the following is an odd function?

f(x)=-X

Given f(x)=3x-1 and g(x)=2x-3, for which value of x does g(x)=f(2)?

x=4

Give f(x)=10-2x, find f(7).

-4

If a(x) and b(x) are linear functions with one variable, which of the following expressions produces a quadratic function?

(ab)(x)

If f(x) =1/9-2 , what is f^-1(x)?

f^-1(x)=1/9x+2

If f(x) = 7 + 4x and g(x) =1/2x, what is the value of (f/g)(5)?

270

Which function has an inverse that is also a function?

g(x)=2x-3

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?

$18

If f(x) and its inverse function,f^-1(x) , are both plotted on the same coordinate plane, where is their point of intersection?

(2,2)

If f(x) =X+9 and g(x)=-6, which describes the value of (f+g)(x)?

(f+g)(x)>_3 for all values of x

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?

27 ft

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?

5 mph

Which scatterplot has a correlation coefficient closest to r = -1?

D

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?

The value of the comic book decreased by an average of$0.04 each month between m=36 and m=60

Which graph represents an odd function?

A

Which graph represents the same relation as the table below? (-2,5), (0,1), (1,-1), (2,-3)

D

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.

No, because using the y-axis tests only whether x=0 is mapped to multiple values.

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?

Since the function is even,the outputs of a negative x-value and a positive x-value are the same

Which of the following is an even function?

g(x)=2x^2+1

If u(x) = x5 - x4 + x2 and v(x) = -x2, which expression is equivalent to (u/v)(x)?

-x^3+x^2-1

The graphs of f(x) and g(x) are shown below. For what interval is the value of (f - g)(x) negative?

(-00,2)