Linear Functions — Unit test Answers

If f(x) = |x| + 9 and g(x) = –6, which describes the range of (f + g)(x)?

The table shows how far a distance runner has traveled since the race began. What is her average rate of change, in miles per hour, during the interval 0.75 to 1.00 hours?Time Elapsed (Hours)Miles Traveled (Miles)0.502.000.753.501.004.75

Two trains leave a town at the same time heading in opposite directions. One train is traveling 12 mph faster than the other. After two hours, they are 232 miles apart. What is the average speed of each train?

Which graph represents y – 1 = 2(x – 2)?

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

Which function is most likely graphed on the coordinate plane below?

If f(x) = 7 + 4x and , what is the value of ?

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

If and , what is the domain of ?

Sherie bought a beach towel that normally costs $44 but was on sale for half price. She also bought a beach hat that was on sale for $12 off. Before tax, her total cost was $38. What was the regular price of the beach hat?

Which function has an inverse that is also a function?

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

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

If a(x) = 3x + 1 and , what is the domain of ?

If , what is ?

The graph of f(x) is shown below.If f(x) and its inverse function, , are both plotted on the same coordinate plane, where is their point of intersection?

A boat has a speed of 9 miles per hour in calm water. It takes the boat 4 hours to travel upstream but only 2 hours to travel the same distance downstream. Which equation can be used to find c, the speed of the current in miles per hour?

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?

The value, V(m), of a comic book m months after publication has an average rate of change of –0.04 between m = 36 and m = 60. Which statement must be true?

If a(x) = 2x - 4 and b(x) = x + 2, which of the following expressions produces a quadratic function?