Find the slope of the line satisfying the given conditions. through (-3, 4) and (2, -8)

For each function, find (a)ƒ(x+h), (b)ƒ(x+h)-ƒ(x), and (c)[ƒ(x+h)-ƒ(x)]/h. ƒ(x)=2-x

The graph of y=|x-2| is symmetric with respect to a vertical line. What is the equation of that line?

Graph each equation.

$\text{ƒ}\left(x\right)=3$

For each function, find (a)ƒ(x+h), (b)ƒ(x+h)-ƒ(x), and (c)[ƒ(x+h)-ƒ(x)]/h. ƒ(x)=1-x

Find the value of the function for the given value of x. ƒ(x)=[[0.5x]], for x=7

Determine whether each relation defines y as a function of x. Give the domain and range. y=√(4x+1)

For each function, find (a)ƒ(x+h), (b)ƒ(x+h)-ƒ(x), and (c)[ƒ(x+h)-ƒ(x)]/h. ƒ(x)=6x+2

Find the slope of the line satisfying the given conditions. through (5, 9) and (-2, 9)

Find the value of the function for the given value of x. ƒ(x)=-[[-x]], for x=2.5

The graph of a linear function f is shown. (a) Identify the slope, y-intercept, and x-intercept. (b) Write an equation that defines f.

Without graphing, determine whether each equation has a graph that is symmetric with respect to the x-axis, the y-axis, the origin, or none of these. See Examples 3 and 4. y=x²+5

For each function, find (a)ƒ(x+h), (b)ƒ(x+h)-ƒ(x), and (c)[ƒ(x+h)-ƒ(x)]/h.See Example 4.

$\text{ƒ}\left(x\right)=4x+11$

Find the value of the function for the given value of x. ƒ(x)=2-[[-x]], for x=3.7

Determine whether each relation defines y as a function of x. Give the domain and range. y=√(7-2x)

The graph of a linear function f is shown. (a) Identify the slope, y-intercept, and x-intercept. (b) Write an equation that defines f.

For each equation, (a) give a table with at least three ordered pairs that are solutions, and (b) graph the equation. y=(1/2)x-2

Determine whether each relation defines y as a function of x. Give the domain and range. y=2/(x-3)

Without graphing, determine whether each equation has a graph that is symmetric with respect to the x-axis, the y-axis, the origin, or none of these. See Examples 3 and 4. x²+y²=12

Find the value of the function for the given value of x. ƒ(x)=[[x/4]], for x=7

For each function, find (a)ƒ(x+h), (b)ƒ(x+h)-ƒ(x), and (c)[ƒ(x+h)-ƒ(x)]/h. ƒ(x)=-2x+5

Find the slope of the line satisfying the given conditions. horizontal, through (5, 1)

Graph the line satisfying the given conditions. through (0, 5), m= -2/3

Determine whether each relation defines y as a function of x. Give the domain and range. y=-7/(x-5)

Find the value of the function for the given value of x. ƒ(x)=[[3-(x/2)]], for x=1

For each function, find (a)ƒ(x+h), (b)ƒ(x+h)-ƒ(x), and (c)[ƒ(x+h)-ƒ(x)]/h.See Example 4.

$\text{ƒ}\left(x\right)=-4x+2$

Work each of the following. Find the equation of a circle with center at (-4, 3), passing through the point (5, 8).Write it in center-radius form.

Graph the line satisfying the given conditions. through (2, -4), m = 3/4

For each equation, (a) give a table with at least three ordered pairs that are solutions, and (b) graph the equation. 2x+3y=5

For each function, find (a)ƒ(x+h), (b)ƒ(x+h)-ƒ(x), and (c)[ƒ(x+h)-ƒ(x)]/h. ƒ(x)=1/x