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Math 106
Name
Graded Homework
For #1-4: f(x) = x-5, g(x) = x – x – 6, h(x) = 4x + 3, and p(x) = 9×2 – 25
1. Find the x-intercept(s) for:
2. Find the y-intercept for:
a) f(x) b) g(x)
a) f(x) b) g(x) c) h(x)
3. Find:
a) f(2)
b) g(-3)
c) (3)
d) g(x – 2)
e) (g)(2)
f) (poh)(-2)
g) (g+ p)(x)
h) (f-g)(x)
Dop)(x)
4. Find the domain of each function. Write your answer in interval notation.
a) g(x) b) h(x)
d) poh)(x)
5. Find the domain of each function. Write your answer in interval notation
a) f(x) = (2x – 4)
b) f(z) =
DE
DE
6. Solve each inequality. Write the solution in interval notation
a) 6x – 5 5 4
b) |-3x – 11 >5
Solution
Solution
7. Write the equation of the line that write your answer in slope-intercept form)
a) is vertical and passes b) has a slope of 2 and c) passes through
through (8,-7)
x-intercept 9
(5.-1) and (4,4)
d) is parallel to y = -x + 2 and
and passes through (-2,-4)
e) is perpendicular to 2x + y = 7
and passes through (7.-3)
8. Find the roots of the following functions:
a) f(x) = 4x – 5 b) f(x) = 3x – 75x
c)f(x) = x – 16x + 63r
d)f(x) = 7x – 28
e) f(x) = -5x + 2
9. On your calculator, graph /(x) = -3r? +6.
a) What is the range of f(x)? Write your answer in interval notation
b) Does f(x) have an inverse7 How do you know?
10. Each function below has an inverse. Find f(x).
a)/() = 7x-3
b) f(x) = (x – 1)’ +8
11. Solve each equation for
a) 432-1 = 47b) 16″
.
c) x3 = 716 d) xi = 27°) (17)* = 49
12. Calculate without a calculator
a)
b) 21:27
13
c)64
d) Ine
e) logs
logs 125
8) log, 162 + logo
h) in (ve.es)
fG)
13. Refer to the graph at the right
Find:
a) ft2) b) the domain
the range
d) For what value of x does f(x)
attain a maximum?
w
e) What is the maximum value?
$
1) What x value(s) are the zeros
of the function?
8) For what value(s) of x does f(x) =-1?
14. Graph:
a) the parabola f(x) = -x – 3x + 4. Plot the roots, the maximum or minimum
point, and the y-intercept
b) f(x) = { wien – 35=