Algebra II Name______________________________________ Linear Review Period _______ Date _________________________ Graph each line using the given equation. *For problem 1, do not solve for y. 2 1. y 8 ( x 7) 3 2. x 8 3. 6 x 4 y 12 Write an equation for each line graphed below. 4. _______________ 5. _______________ 6. _______________ Write an equation for each line with the given information. 7. Through ( 4, -6) with the same x-intercept as 3x 2 y 15 Point-Slope form:_______________________________ Slope-Intercept form:____________________________ Standard form:_________________________________ 8. Vertical through (-11, 12) Point-Slope form:_______________________________ Slope-Intercept form:____________________________ Standard form:_________________________________ 9. f (5) 6 and f (7) 9 Point-Slope form:_______________________________ Slope-Intercept form:____________________________ Standard form:_________________________________ 10. Through ( 7, -8) parallel to x 3 y 7 Point-Slope form:_______________________________ Slope-Intercept form:____________________________ Standard form:_________________________________ 4 5 11. Through ( 4, -5) perpendicular to y 6 ( x 7) Point-Slope form:_______________________________ Slope-Intercept form:____________________________ Standard form:_________________________________ 12. Through ( 4, -5) with the same y-intercept as 4 x 7 y 35 Point-Slope form:_______________________________ Slope-Intercept form:____________________________ Standard form:_________________________________ 13. Antler Problem: Based on data collected on mule deer in Colorado, the mass of a deer’s antlers (measured in October) varies linearly with the deer’s age. According to the data, a 30 month old deer’s antlers are about 152 grams and an 80 month old deer’s antlers are about 552 grams. (Assume most deer don’t live past 20 years). Write a particular equation expressing antler mass in terms of the deer’s age. Predict the antler mass of a 51 month old mule deer. Suppose that you brought back a mule deer whose antlers are 432 grams. About how old was he? What is the age-intercept? What does this number tell you about the problem? What is the antlers mass-intercept? What does this number tell you about the problem? What are the units of the slope? What does this number tell you about the problem? Sketch the graph of this function using a suitable domain and range. What is the domain and range of this function? If f ( x) x 2 4 x 7 , g ( x) 8 3x and h( x) 5x 2 evaluate the following. 14. f (2) 15. h( f (3)) 16. g (4) h(4) 17. 3 f (3) 2 g (5) 18. g (h( x)) 19. ( f g )(4) Identify whether the graph is a function and find the domain and range for each graph. 20. 21. 22. Use inequality notation. Use interval notation. Your choice of notation. Function: __________ Function: __________ Function: __________ Domain: _____________ Domain: _____________ Domain: _____________ Range: _____________ Range: _____________ Range: _____________