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Apr 3, 2024

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Question 1. Score: 1/2 Evaluating Functions Use the table to answer the following questions x 0 3 6 9 1 2 1 5 1 8 2 1 2 4 2 7 f( x ) ( ) 1 2 3 9 1 8 2 7 2 4 0 1 5 6 2 1 Evaluate f(18) (18) : f(18)= (18)= Correct Determine x when f(x)=3 ( )=3 x= = Incorrect3 Score: 1/1 0/1 Time spent on this version: 2 minutes. Had help available: Video Question 2. Score: 1/2 Evaluating Functions The Function f(x) ( ) is represented below as a graph. Use f(x) ( ) to answer the following questions 1234567-1-2-3-4-5-6-71234567-1-2-3-4-5-6-7 Evaluate f(1) (1) : f(1)= (1)= Correct Determine x when f(x)=−5 ( )=-5 x= = Incorrect2 Score: 1/1 0/1 Time spent on this version: 2 minutes. Had help available: Video Question 3. Score: 1/1 Ice Cream The function C(g) ( ) represents the cost to produce g gallons of chocolate chunk ice cream.
Interpret the meaning of the statement: C(624)=141 (624)=141 . It costs $Correct to produce Correct gallons of chocolate chunk ice cream. Score: 0.5/0.5 0.5/0.5 Time spent on this version: 0.6 minutes. Had help available: Video Question 4. Score: 2/2 Credit Card Debt - Application The function D(t) ( ) can be used to approximate the total average credit card debt in a U.S. household (in thousands of dollars) t years after 1995. Interpret the meaning of the statement: D(23)=20.5 (23)=20.5 . In the year Correct, the total average credit card debt for a U.S. household will be $Correct. Score: 1/1 1/1 Time spent on this version: 1.7 minutes. Had help available: Video Question 5. Score: 2/2 Evaluating Functions Use the function f(x)=−7x+4 ( )=-7 +4 to answer the following questions Evaluate f(0) (0) : f(0)= (0)= Correct Determine x when f(x)=11 ( )=11 x= = Correct Score: 1/1 1/1 Time spent on this version: 1.3 minutes. Had help available: Video Question 6. Score: 1/1 Function Evaluation Given the function f(x)=4x 2 +3x−7 ( )=4 2+3 -7 , evaluate each of the following. f(0)= (0)= Correct f(3)= (3)= Correct f(−3)= (-3)= Correct
f(1)= (1)= Correct f(−2)= (-2)= Correct Score: 0.2/0.2 0.2/0.2 0.2/0.2 0.2/0.2 0.2/0.2 Time spent on this version: 5 minutes. Had help available: Video Question 7. Score: 5/6 Evaluate the following functions. Write your answers as integers or reduced fractions. f(x)=3x 2 x ( )=3 2- f(−7) (-7) = $154$154 Correct g(x)=53x ( )=53 g(−5)= (-5)= $- \ frac{1}{3}$− 13 Correct T(n)=|n| ( )=| | T(−3) (-3) = $3$3 Correct k(x)=2 x ( )=2 k(7)= (7)= $128$128 Correct d(r)=(2r) 3 ( )=(2 )3 d(−4) (-4) = $64$64 Incorrect 512 -512 P(n)=1n 2 ( )=1 2 P(−6)= (-6)= $\frac{1}{36}$ 136 Correct Score: 1/1 1/1 1/1 1/1 0/1 1/1 Time spent on this version: 15.1 minutes. Had help available: Video Question 8. Score: 1.5/4 Function Evaluation, Rule of 4 On the right are four functions, each using one of the function representations we've learned about in this lesson. Use functions, f(x), g(x), h(x) and p(t) ( ), ( ), ℎ( ) and ( ) to answer the questions on the left.
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Evaluate f(−1) (-1) f(−1)= (-1)= Incorrect0 Determine x when f(x)=−1 ( )=-1 x= = Incorrect-3 Evaluate g(55) (55) g(55)= (55)= Correct Determine x when g(x)=75 ( )=75 x= = Incorrect48 Evaluate h(−7) (-7) h(−7)= (-7)= Correct Determine x when h(x)=−17 ( )=-17 x= = Correct Evaluate p(35) (35) p(35)= (35)= Incorrect81 Determine t when p(t)=85 ( )=85 t= = Incorrect59 f(x) ( ) 12345-1-2-3-4-512345-1-2-3-4-5xy g(x) ( ) : {(17,16), (34,46), (48,75), (54,23), (55,10), (70,78), (73,55), (75,68), (83,-8), (90,64)} t 1 4 2 6 3 5 3 7 3 8 4 4 5 9 7 3 8 5 9 5 p ( t ) ( ) 8 6 1 0 7 8 1 2 1 3 5 9 3 8 5 9 8 1 1 1 3 1 h(x)=25x+8 ( )=25 +8 Score: 0/0.5 0/0.5 0.5/0.5 0/0.5 0.5/0.5 0.5/0.5 0/0.5 0/0.5 Time spent on this version: 14.3 minutes. Had help available: Video Question 9. Score: 2/4 Finding Inputs and Outputs in a Story Context You purchase 150 bags of peanuts for 17 dollars and plan to sell them at the yard sale for 85 cents each. Your profit can be determined by the function P(x)=0.85x−17 ( )=0.85 -17
where P represents your profit and x represents the number of bags of peanuts sold. Round your answers to the nearest hundredth as needed. Calculate P(72) (72) Complete the following sentence to explain the meaning of your answer. The profit from selling Correct bags of peanuts is Incorrect44.2 dollars. Find x when P(x)=51 ( )=51 Complete the following sentence to explain the meaning of your answer. The profit from selling Incorrect80 bags of peanuts is Correct dollars. Score: 1/1 0/1 0/1 1/1 Time spent on this version: 2.8 minutes. Had help available: Video Question 10. Score: 3/4 Finding Inputs and Outputs in a Story Context A local bakery charges $11.00 for each cake delivered plus a reservation fee of $25. They deliver a maximum of 90 cakes. Let C(x) ( ) represent the total cost from the bakery and x represent the number of cakes delivered. Round your answers to the nearest hundredth as needed. Calculate C(14) (14) . Complete the following sentence to explain the meaning of your answer. The cost for having Correct cakes delivered is Correct dollars. Find x when C(x)=157 ( )=157 Complete the following sentence to explain the meaning of your answer. The cost for having Incorrect cakes delivered is Correct dollars. Score: 1/1 1/1 0/1 1/1 Time spent on this version: 10.6 minutes. Had help available: Video Question 11. Score: 5/5 Linear Functions, Determining Slope Find the slope of the line that passes through the given points. Then determine if the line is increasing, decreasing, horizontal or vertical. Note: If the slope does not exist, enter DNE ��� Ordered Pairs Slope Behavior
(−3,11)and(−1,15) (- 3,11)and(-1,15) m= = $2$2 Correct Select an answer Increasing Decreasing Horizonal Vertical Correct (12,−9)and(24,−9) (12,- 9)and(24,-9) m= = $0$0 Correct Select an answer Increasing Decreasing Horizonal Vertical Correct (14,5)and(26,41) (14,5)an d(26,41) m= = $3$3 Correct Select an answer Increasing Decreasing Horizonal Vertical Correct (8,−9)and(15,−37) (8,- 9)and(15,-37) m= = $- 4$−4 Correct Select an answer Increasing Decreasing Horizonal Vertical Correct (5,−1)and(5,3) (5,- 1)and(5,3) m= = $\text{DNE}$DN E Correct Select an answer Increasing Decreasing
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Horizonal Vertical Correct Score: 0.5/0.5 0.5/0.5 0.5/0.5 0.5/0.5 0.5/0.5 0.5/0.5 0.5/0.5 0.5/0.5 0.5/0.5 0.5/0.5 Time spent on this version: 5.3 minutes. Had help available: Video Question 12. Score: 5.5/6 Characteristics of Linear Functions Complete the table below. Function Rate of Change Initial Value Behavior f(x)=−3x+9 ( )=- 3 +9 Correct Correct Select an answer Horizontal Increasing Vertical Decreasing Correct V(t)=−9+6t ( )=- 9+6 Correct Correct Select an answer Horizontal Increasing Decreasing Vertical Correct r(a)=−10a ( )=-10 Correct Incorrect Select an answer Vertical Horizontal Decreasing Increasing Correct
C(w)=4 ( )=4 Correct Correct Select an answer Increasing Decreasing Vertical Horizontal Correct Score: 0.5/0.5 0.5/0.5 0.5/0.5 0.5/0.5 0.5/0.5 0.5/0.5 0.5/0.5 0/0.5 0.5/0.5 0.5/0.5 0.5/0.5 0.5/0.5 Time spent on this version: 5.5 minutes.