## Problem 557

What is the range of 2×2 + 1.   Solution:-   The graph of the function is a parabola. The positive 2 in the equation will make the graph…

## Problem 556

What is the range of the following function?  f(x) = (4,6), (5,7),(6,8),(7,9)   Solution:-   Given a set of ordered pairs, the range is found by identifying the y-coordinates…

## Problem 555

Explain why there are restrictions on the domain for the function  f(x) = .   Solution:-   The domain of a function is the set of values for which it…

## Problem 554

Explain how a graph fails the vertical line test.   Solution:-   Any vertical line drawn through the graph cannot intersect the graph more than once. If any vertical…

## Problem 553

Explain why vertical lines have undefined slope.   Solution:-   When calculating the slope of a line, you find the change in y-coordinates divided by the change in x-coordinates.…

## Problem 552

Write the equation of the line with m =    and b =   ?   Solution:-   Substitute the values for slope and y-intercept into y = mx +b.

## Problem 551

Find the slope of the line through the points (5, 5) and (-5, 5).   Solution:-   Use the slope formula     m = 0 The slope is…

## Problem 550

Find the slope of the line through the points (-1, 2) and (9, 7).   Solution:-   Use the slope formula

## Problem 549

What is the slope of the line that is perpendicular to y = 4x – 3?   Solution:-   The slope is represented by m in y = mx + b. Perpendicular lines have opposite reciprocal slopes.  …

## Problem 548

Which of the following graphs represents y = 3x + 3 ?   Solution:-     Look for the graph of a linear function with a slope of three and…