Answer: please find the answer in the explanation
Step-by-step explanation:
Given f(x) = x2 − 4x + 5,
To find each value. a. f(2) b. f(−6) , substitute x for each value
A.) F(2) = 2^2 - 4(2) + 5
F(2) = 4 - 8 + 5 = 1
B.) F(-6) = (-6)^2 - 4(-6) + 5
F(-6) = 36 + 24 + 5 = 65
2.) Find the slope and y-intercept.
a. y = 3x − 4
Slope = 3 and intercept = -4
b. 4x − 5y = 15
First rearrange
-5y = -4x + 15
Y = 4/5 x - 3
Slope = 4/5 and intercept = 3
4. Write an equation for each line. a. line with slope 3 and y-intercept −2 b. line passing through (2, 5) and (−4, 1)
Given that x = 2 and y = 5
3 = (y - 5)/( x - 2)
Cross multiply
3x - 6 = y - 5
Y = 3x - 1
Also, given that x = -4 and y = 1
Repeat the same process
3 = (y - 1)/(x + 4)
3x + 12 = y - 1
Y = 3x + 13
5. Write the equation of the line below. A line with a y-intercept of 6 and a slope of negative 1 is graphed on a 4 quadrant coordinate grid.
The equation will be:
Y = -x - 6
6. Using the whole number 5, define the additive inverse and the multiplicative inverse.
Additive inverse of 5 = -5
Multiplicative inverse of 5 = 1/5
7. Solve 3(x + 2) + 4 = 5x + 7.
Open the bracket
3x + 10 = 5x + 7
Collect the like terms
2x = 3
X = 3/2
8. What is the absolute value of 2 and of −2? Explain your response.
Absolute value of any number is always positive. The answer to both questions is 2
11. Find the domain and range of each relation. a. y = 2x + 1
Domain: x = all real numbers
Range: y = all real numbers
b. input 3 7 11 output −1 −3 −5 c. d. Graph of a function, shaped like a curve, with a vertex on y = negative 4, on a 4 quadrant coordinate grid. 12. How many lines of symmetry exist in the figure shown in Item 11c?
